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Finding the Fourth Proportional to 861.84, 1,294.17 and 818.02

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Solution

The fourth proportional to 861.84, 1,294.17 and 818.02 is: 1,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,294.17 = 818.02 : x
  2. Step 2: Convert to fraction form
    861.84/1,294.17 = 818.02/x
  3. Step 3: Cross multiply
    861.84x = 1,294.17 × 818.02
  4. Step 4: Simplify right side
    861.84x = 1,058,653.71
  5. Step 5: Solve for x
    x = 1,058,653.71/861.84
  6. Step 6: Final answer
    x = 1,228.36

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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.