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Finding the Fourth Proportional to 809.52, 1,115.42 and 547.08

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Solution

The fourth proportional to 809.52, 1,115.42 and 547.08 is: 753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,115.42 = 547.08 : x
  2. Step 2: Convert to fraction form
    809.52/1,115.42 = 547.08/x
  3. Step 3: Cross multiply
    809.52x = 1,115.42 × 547.08
  4. Step 4: Simplify right side
    809.52x = 610,221.24
  5. Step 5: Solve for x
    x = 610,221.24/809.52
  6. Step 6: Final answer
    x = 753.81

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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.