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Finding the Fourth Proportional to 1,189.53, 1,641.28 and 747.27

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Solution

The fourth proportional to 1,189.53, 1,641.28 and 747.27 is: 1,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.53 : 1,641.28 = 747.27 : x
  2. Step 2: Convert to fraction form
    1,189.53/1,641.28 = 747.27/x
  3. Step 3: Cross multiply
    1,189.53x = 1,641.28 × 747.27
  4. Step 4: Simplify right side
    1,189.53x = 1,226,479.31
  5. Step 5: Solve for x
    x = 1,226,479.31/1,189.53
  6. Step 6: Final answer
    x = 1,031.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.