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Finding the Fourth Proportional to 865.55, 1,296.25 and 474.97

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Solution

The fourth proportional to 865.55, 1,296.25 and 474.97 is: 711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.55 : 1,296.25 = 474.97 : x
  2. Step 2: Convert to fraction form
    865.55/1,296.25 = 474.97/x
  3. Step 3: Cross multiply
    865.55x = 1,296.25 × 474.97
  4. Step 4: Simplify right side
    865.55x = 615,679.86
  5. Step 5: Solve for x
    x = 615,679.86/865.55
  6. Step 6: Final answer
    x = 711.32

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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.