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Finding the Fourth Proportional to 1,127.48, 1,691.46 and 434.09

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Solution

The fourth proportional to 1,127.48, 1,691.46 and 434.09 is: 651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.48 : 1,691.46 = 434.09 : x
  2. Step 2: Convert to fraction form
    1,127.48/1,691.46 = 434.09/x
  3. Step 3: Cross multiply
    1,127.48x = 1,691.46 × 434.09
  4. Step 4: Simplify right side
    1,127.48x = 734,245.87
  5. Step 5: Solve for x
    x = 734,245.87/1,127.48
  6. Step 6: Final answer
    x = 651.23

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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.