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Finding the Fourth Proportional to 862.78, 1,292.11 and 472.19

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Solution

The fourth proportional to 862.78, 1,292.11 and 472.19 is: 707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.78 : 1,292.11 = 472.19 : x
  2. Step 2: Convert to fraction form
    862.78/1,292.11 = 472.19/x
  3. Step 3: Cross multiply
    862.78x = 1,292.11 × 472.19
  4. Step 4: Simplify right side
    862.78x = 610,121.42
  5. Step 5: Solve for x
    x = 610,121.42/862.78
  6. Step 6: Final answer
    x = 707.16

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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.