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Finding the Fourth Proportional to 863.50, 1,294.08 and 472.91

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Solution

The fourth proportional to 863.50, 1,294.08 and 472.91 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,294.08 = 472.91 : x
  2. Step 2: Convert to fraction form
    863.50/1,294.08 = 472.91/x
  3. Step 3: Cross multiply
    863.50x = 1,294.08 × 472.91
  4. Step 4: Simplify right side
    863.50x = 611,987.79
  5. Step 5: Solve for x
    x = 611,987.79/863.50
  6. Step 6: Final answer
    x = 708.73

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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.