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Finding the Fourth Proportional to 1,256.31, 1,733.65 and 696.75

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Solution

The fourth proportional to 1,256.31, 1,733.65 and 696.75 is: 961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.31 : 1,733.65 = 696.75 : x
  2. Step 2: Convert to fraction form
    1,256.31/1,733.65 = 696.75/x
  3. Step 3: Cross multiply
    1,256.31x = 1,733.65 × 696.75
  4. Step 4: Simplify right side
    1,256.31x = 1,207,926.07
  5. Step 5: Solve for x
    x = 1,207,926.07/1,256.31
  6. Step 6: Final answer
    x = 961.49

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Find fourth proportional to 628.16, 866.83 and 348.38
Half scale
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Double scale
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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.