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Finding the Fourth Proportional to 1,256.29, 1,733.67 and 696.76

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Solution

The fourth proportional to 1,256.29, 1,733.67 and 696.76 is: 961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.29 : 1,733.67 = 696.76 : x
  2. Step 2: Convert to fraction form
    1,256.29/1,733.67 = 696.76/x
  3. Step 3: Cross multiply
    1,256.29x = 1,733.67 × 696.76
  4. Step 4: Simplify right side
    1,256.29x = 1,207,947.58
  5. Step 5: Solve for x
    x = 1,207,947.58/1,256.29
  6. Step 6: Final answer
    x = 961.52

Related Problems

Find fourth proportional to 628.14, 866.84 and 348.38
Half scale
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Double scale
Find fourth proportional to 1,257.29, 1,735.05 and 697.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.