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Finding the Fourth Proportional to 1,387.23, 2,079.07 and 762.11

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Solution

The fourth proportional to 1,387.23, 2,079.07 and 762.11 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.23 : 2,079.07 = 762.11 : x
  2. Step 2: Convert to fraction form
    1,387.23/2,079.07 = 762.11/x
  3. Step 3: Cross multiply
    1,387.23x = 2,079.07 × 762.11
  4. Step 4: Simplify right side
    1,387.23x = 1,584,475.53
  5. Step 5: Solve for x
    x = 1,584,475.53/1,387.23
  6. Step 6: Final answer
    x = 1,142.19

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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.