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Finding the Fourth Proportional to 861.68, 1,188.75 and 551

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Solution

The fourth proportional to 861.68, 1,188.75 and 551 is: 760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.68 : 1,188.75 = 551 : x
  2. Step 2: Convert to fraction form
    861.68/1,188.75 = 551/x
  3. Step 3: Cross multiply
    861.68x = 1,188.75 × 551
  4. Step 4: Simplify right side
    861.68x = 655,001.25
  5. Step 5: Solve for x
    x = 655,001.25/861.68
  6. Step 6: Final answer
    x = 760.14

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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.