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Finding the Fourth Proportional to 454.72, 625.98 and 410.92

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Solution

The fourth proportional to 454.72, 625.98 and 410.92 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 625.98 = 410.92 : x
  2. Step 2: Convert to fraction form
    454.72/625.98 = 410.92/x
  3. Step 3: Cross multiply
    454.72x = 625.98 × 410.92
  4. Step 4: Simplify right side
    454.72x = 257,227.70
  5. Step 5: Solve for x
    x = 257,227.70/454.72
  6. Step 6: Final answer
    x = 565.68

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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.