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Finding the Fourth Proportional to 861.53, 1,294.35 and 553.98

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Solution

The fourth proportional to 861.53, 1,294.35 and 553.98 is: 832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.53 : 1,294.35 = 553.98 : x
  2. Step 2: Convert to fraction form
    861.53/1,294.35 = 553.98/x
  3. Step 3: Cross multiply
    861.53x = 1,294.35 × 553.98
  4. Step 4: Simplify right side
    861.53x = 717,044.01
  5. Step 5: Solve for x
    x = 717,044.01/861.53
  6. Step 6: Final answer
    x = 832.29

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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.