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Finding the Fourth Proportional to 457.70, 631.17 and 405.26

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Solution

The fourth proportional to 457.70, 631.17 and 405.26 is: 558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 631.17 = 405.26 : x
  2. Step 2: Convert to fraction form
    457.70/631.17 = 405.26/x
  3. Step 3: Cross multiply
    457.70x = 631.17 × 405.26
  4. Step 4: Simplify right side
    457.70x = 255,787.95
  5. Step 5: Solve for x
    x = 255,787.95/457.70
  6. Step 6: Final answer
    x = 558.86

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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.