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Finding the Fourth Proportional to 683.98, 944.27 and 497.14

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Solution

The fourth proportional to 683.98, 944.27 and 497.14 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 944.27 = 497.14 : x
  2. Step 2: Convert to fraction form
    683.98/944.27 = 497.14/x
  3. Step 3: Cross multiply
    683.98x = 944.27 × 497.14
  4. Step 4: Simplify right side
    683.98x = 469,434.39
  5. Step 5: Solve for x
    x = 469,434.39/683.98
  6. Step 6: Final answer
    x = 686.33

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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.