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Finding the Fourth Proportional to 475.92, 657.90 and 410.40

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Solution

The fourth proportional to 475.92, 657.90 and 410.40 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 657.90 = 410.40 : x
  2. Step 2: Convert to fraction form
    475.92/657.90 = 410.40/x
  3. Step 3: Cross multiply
    475.92x = 657.90 × 410.40
  4. Step 4: Simplify right side
    475.92x = 270,002.16
  5. Step 5: Solve for x
    x = 270,002.16/475.92
  6. Step 6: Final answer
    x = 567.33

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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.