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Finding the Fourth Proportional to 862.47, 1,292.93 and 314.27

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Solution

The fourth proportional to 862.47, 1,292.93 and 314.27 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.47 : 1,292.93 = 314.27 : x
  2. Step 2: Convert to fraction form
    862.47/1,292.93 = 314.27/x
  3. Step 3: Cross multiply
    862.47x = 1,292.93 × 314.27
  4. Step 4: Simplify right side
    862.47x = 406,321.08
  5. Step 5: Solve for x
    x = 406,321.08/862.47
  6. Step 6: Final answer
    x = 471.11

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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.