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Finding the Fourth Proportional to 457.79, 686.61 and 169.29

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Solution

The fourth proportional to 457.79, 686.61 and 169.29 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 686.61 = 169.29 : x
  2. Step 2: Convert to fraction form
    457.79/686.61 = 169.29/x
  3. Step 3: Cross multiply
    457.79x = 686.61 × 169.29
  4. Step 4: Simplify right side
    457.79x = 116,236.21
  5. Step 5: Solve for x
    x = 116,236.21/457.79
  6. Step 6: Final answer
    x = 253.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.