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Finding the Fourth Proportional to 831.10, 1,146.96 and 477.08

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Solution

The fourth proportional to 831.10, 1,146.96 and 477.08 is: 658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.10 : 1,146.96 = 477.08 : x
  2. Step 2: Convert to fraction form
    831.10/1,146.96 = 477.08/x
  3. Step 3: Cross multiply
    831.10x = 1,146.96 × 477.08
  4. Step 4: Simplify right side
    831.10x = 547,191.68
  5. Step 5: Solve for x
    x = 547,191.68/831.10
  6. Step 6: Final answer
    x = 658.39

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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.