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Finding the Fourth Proportional to 877.13, 1,308.89 and 760.49

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Solution

The fourth proportional to 877.13, 1,308.89 and 760.49 is: 1,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.13 : 1,308.89 = 760.49 : x
  2. Step 2: Convert to fraction form
    877.13/1,308.89 = 760.49/x
  3. Step 3: Cross multiply
    877.13x = 1,308.89 × 760.49
  4. Step 4: Simplify right side
    877.13x = 995,387.41
  5. Step 5: Solve for x
    x = 995,387.41/877.13
  6. Step 6: Final answer
    x = 1,134.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.