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Finding the Fourth Proportional to 686.38, 946.45 and 437.42

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Solution

The fourth proportional to 686.38, 946.45 and 437.42 is: 603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.38 : 946.45 = 437.42 : x
  2. Step 2: Convert to fraction form
    686.38/946.45 = 437.42/x
  3. Step 3: Cross multiply
    686.38x = 946.45 × 437.42
  4. Step 4: Simplify right side
    686.38x = 413,996.16
  5. Step 5: Solve for x
    x = 413,996.16/686.38
  6. Step 6: Final answer
    x = 603.16

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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.