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Finding the Fourth Proportional to 457.23, 627.25 and 429.29

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Solution

The fourth proportional to 457.23, 627.25 and 429.29 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 627.25 = 429.29 : x
  2. Step 2: Convert to fraction form
    457.23/627.25 = 429.29/x
  3. Step 3: Cross multiply
    457.23x = 627.25 × 429.29
  4. Step 4: Simplify right side
    457.23x = 269,272.15
  5. Step 5: Solve for x
    x = 269,272.15/457.23
  6. Step 6: Final answer
    x = 588.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.