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Finding the Fourth Proportional to 862.07, 1,291.87 and 689.26

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Solution

The fourth proportional to 862.07, 1,291.87 and 689.26 is: 1,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.07 : 1,291.87 = 689.26 : x
  2. Step 2: Convert to fraction form
    862.07/1,291.87 = 689.26/x
  3. Step 3: Cross multiply
    862.07x = 1,291.87 × 689.26
  4. Step 4: Simplify right side
    862.07x = 890,434.32
  5. Step 5: Solve for x
    x = 890,434.32/862.07
  6. Step 6: Final answer
    x = 1,032.90

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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.