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Finding the Fourth Proportional to 886.43, 1,328.87 and 574.20

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Solution

The fourth proportional to 886.43, 1,328.87 and 574.20 is: 860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.43 : 1,328.87 = 574.20 : x
  2. Step 2: Convert to fraction form
    886.43/1,328.87 = 574.20/x
  3. Step 3: Cross multiply
    886.43x = 1,328.87 × 574.20
  4. Step 4: Simplify right side
    886.43x = 763,034.28
  5. Step 5: Solve for x
    x = 763,034.28/886.43
  6. Step 6: Final answer
    x = 860.80

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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.