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Finding the Fourth Proportional to 1,549.53, 2,324.61 and 575.55

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Solution

The fourth proportional to 1,549.53, 2,324.61 and 575.55 is: 863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.53 : 2,324.61 = 575.55 : x
  2. Step 2: Convert to fraction form
    1,549.53/2,324.61 = 575.55/x
  3. Step 3: Cross multiply
    1,549.53x = 2,324.61 × 575.55
  4. Step 4: Simplify right side
    1,549.53x = 1,337,929.29
  5. Step 5: Solve for x
    x = 1,337,929.29/1,549.53
  6. Step 6: Final answer
    x = 863.44

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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.