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Finding the Fourth Proportional to 457.59, 631.77 and 410.88

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Solution

The fourth proportional to 457.59, 631.77 and 410.88 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 631.77 = 410.88 : x
  2. Step 2: Convert to fraction form
    457.59/631.77 = 410.88/x
  3. Step 3: Cross multiply
    457.59x = 631.77 × 410.88
  4. Step 4: Simplify right side
    457.59x = 259,581.66
  5. Step 5: Solve for x
    x = 259,581.66/457.59
  6. Step 6: Final answer
    x = 567.28

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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.