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Finding the Fourth Proportional to 861.30, 1,292.54 and 568.17

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Solution

The fourth proportional to 861.30, 1,292.54 and 568.17 is: 852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.30 : 1,292.54 = 568.17 : x
  2. Step 2: Convert to fraction form
    861.30/1,292.54 = 568.17/x
  3. Step 3: Cross multiply
    861.30x = 1,292.54 × 568.17
  4. Step 4: Simplify right side
    861.30x = 734,379.61
  5. Step 5: Solve for x
    x = 734,379.61/861.30
  6. Step 6: Final answer
    x = 852.64

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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.