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Finding the Fourth Proportional to 683.82, 944.07 and 497.11

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Solution

The fourth proportional to 683.82, 944.07 and 497.11 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 944.07 = 497.11 : x
  2. Step 2: Convert to fraction form
    683.82/944.07 = 497.11/x
  3. Step 3: Cross multiply
    683.82x = 944.07 × 497.11
  4. Step 4: Simplify right side
    683.82x = 469,306.64
  5. Step 5: Solve for x
    x = 469,306.64/683.82
  6. Step 6: Final answer
    x = 686.30

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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.