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Finding the Fourth Proportional to 1,152.57, 1,729.16 and 330.90

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Solution

The fourth proportional to 1,152.57, 1,729.16 and 330.90 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.57 : 1,729.16 = 330.90 : x
  2. Step 2: Convert to fraction form
    1,152.57/1,729.16 = 330.90/x
  3. Step 3: Cross multiply
    1,152.57x = 1,729.16 × 330.90
  4. Step 4: Simplify right side
    1,152.57x = 572,179.04
  5. Step 5: Solve for x
    x = 572,179.04/1,152.57
  6. Step 6: Final answer
    x = 496.44

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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.