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Finding the Fourth Proportional to 864.55, 1,294.75 and 473.97

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Solution

The fourth proportional to 864.55, 1,294.75 and 473.97 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.55 : 1,294.75 = 473.97 : x
  2. Step 2: Convert to fraction form
    864.55/1,294.75 = 473.97/x
  3. Step 3: Cross multiply
    864.55x = 1,294.75 × 473.97
  4. Step 4: Simplify right side
    864.55x = 613,672.66
  5. Step 5: Solve for x
    x = 613,672.66/864.55
  6. Step 6: Final answer
    x = 709.82

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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.