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Finding the Fourth Proportional to 861.84, 1,189.02 and 525.87

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Solution

The fourth proportional to 861.84, 1,189.02 and 525.87 is: 725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,189.02 = 525.87 : x
  2. Step 2: Convert to fraction form
    861.84/1,189.02 = 525.87/x
  3. Step 3: Cross multiply
    861.84x = 1,189.02 × 525.87
  4. Step 4: Simplify right side
    861.84x = 625,269.95
  5. Step 5: Solve for x
    x = 625,269.95/861.84
  6. Step 6: Final answer
    x = 725.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.