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Finding the Fourth Proportional to 876.52, 1,314.06 and 587.80

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Solution

The fourth proportional to 876.52, 1,314.06 and 587.80 is: 881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,314.06 = 587.80 : x
  2. Step 2: Convert to fraction form
    876.52/1,314.06 = 587.80/x
  3. Step 3: Cross multiply
    876.52x = 1,314.06 × 587.80
  4. Step 4: Simplify right side
    876.52x = 772,404.47
  5. Step 5: Solve for x
    x = 772,404.47/876.52
  6. Step 6: Final answer
    x = 881.22

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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.