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Finding the Fourth Proportional to 861.75, 1,189.49 and 551.25

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Solution

The fourth proportional to 861.75, 1,189.49 and 551.25 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.75 : 1,189.49 = 551.25 : x
  2. Step 2: Convert to fraction form
    861.75/1,189.49 = 551.25/x
  3. Step 3: Cross multiply
    861.75x = 1,189.49 × 551.25
  4. Step 4: Simplify right side
    861.75x = 655,703.61
  5. Step 5: Solve for x
    x = 655,703.61/861.75
  6. Step 6: Final answer
    x = 760.90

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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.