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Finding the Fourth Proportional to 1,151.23, 1,726.85 and 457.85

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Solution

The fourth proportional to 1,151.23, 1,726.85 and 457.85 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.23 : 1,726.85 = 457.85 : x
  2. Step 2: Convert to fraction form
    1,151.23/1,726.85 = 457.85/x
  3. Step 3: Cross multiply
    1,151.23x = 1,726.85 × 457.85
  4. Step 4: Simplify right side
    1,151.23x = 790,640.30
  5. Step 5: Solve for x
    x = 790,640.30/1,151.23
  6. Step 6: Final answer
    x = 686.78

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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.