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Finding the Fourth Proportional to 1,151.62, 1,726.41 and 457.94

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Solution

The fourth proportional to 1,151.62, 1,726.41 and 457.94 is: 686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.62 : 1,726.41 = 457.94 : x
  2. Step 2: Convert to fraction form
    1,151.62/1,726.41 = 457.94/x
  3. Step 3: Cross multiply
    1,151.62x = 1,726.41 × 457.94
  4. Step 4: Simplify right side
    1,151.62x = 790,592.20
  5. Step 5: Solve for x
    x = 790,592.20/1,151.62
  6. Step 6: Final answer
    x = 686.50

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Double scale
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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.