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Finding the Fourth Proportional to 1,508.66, 2,262.98 and 991.93

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Solution

The fourth proportional to 1,508.66, 2,262.98 and 991.93 is: 1,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.66 : 2,262.98 = 991.93 : x
  2. Step 2: Convert to fraction form
    1,508.66/2,262.98 = 991.93/x
  3. Step 3: Cross multiply
    1,508.66x = 2,262.98 × 991.93
  4. Step 4: Simplify right side
    1,508.66x = 2,244,706.44
  5. Step 5: Solve for x
    x = 2,244,706.44/1,508.66
  6. Step 6: Final answer
    x = 1,487.88

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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.