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Finding the Fourth Proportional to 457.39, 686.15 and 145.07

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Solution

The fourth proportional to 457.39, 686.15 and 145.07 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 686.15 = 145.07 : x
  2. Step 2: Convert to fraction form
    457.39/686.15 = 145.07/x
  3. Step 3: Cross multiply
    457.39x = 686.15 × 145.07
  4. Step 4: Simplify right side
    457.39x = 99,536.71
  5. Step 5: Solve for x
    x = 99,536.71/457.39
  6. Step 6: Final answer
    x = 217.62

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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.