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Finding the Fourth Proportional to 1,236.77, 1,706.67 and 677.13

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Solution

The fourth proportional to 1,236.77, 1,706.67 and 677.13 is: 934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.77 : 1,706.67 = 677.13 : x
  2. Step 2: Convert to fraction form
    1,236.77/1,706.67 = 677.13/x
  3. Step 3: Cross multiply
    1,236.77x = 1,706.67 × 677.13
  4. Step 4: Simplify right side
    1,236.77x = 1,155,628.92
  5. Step 5: Solve for x
    x = 1,155,628.92/1,236.77
  6. Step 6: Final answer
    x = 934.40

Related Problems

Find fourth proportional to 618.38, 853.34 and 338.56
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.