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Finding the Fourth Proportional to 762.30, 1,143.45 and 729.90

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Solution

The fourth proportional to 762.30, 1,143.45 and 729.90 is: 1,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.30 : 1,143.45 = 729.90 : x
  2. Step 2: Convert to fraction form
    762.30/1,143.45 = 729.90/x
  3. Step 3: Cross multiply
    762.30x = 1,143.45 × 729.90
  4. Step 4: Simplify right side
    762.30x = 834,604.16
  5. Step 5: Solve for x
    x = 834,604.16/762.30
  6. Step 6: Final answer
    x = 1,094.85

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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.