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Finding the Fourth Proportional to 862.67, 1,292.04 and 515.31

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Solution

The fourth proportional to 862.67, 1,292.04 and 515.31 is: 771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.67 : 1,292.04 = 515.31 : x
  2. Step 2: Convert to fraction form
    862.67/1,292.04 = 515.31/x
  3. Step 3: Cross multiply
    862.67x = 1,292.04 × 515.31
  4. Step 4: Simplify right side
    862.67x = 665,801.13
  5. Step 5: Solve for x
    x = 665,801.13/862.67
  6. Step 6: Final answer
    x = 771.80

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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.