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Finding the Fourth Proportional to 762.46, 1,138.17 and 670.20

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Solution

The fourth proportional to 762.46, 1,138.17 and 670.20 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,138.17 = 670.20 : x
  2. Step 2: Convert to fraction form
    762.46/1,138.17 = 670.20/x
  3. Step 3: Cross multiply
    762.46x = 1,138.17 × 670.20
  4. Step 4: Simplify right side
    762.46x = 762,801.53
  5. Step 5: Solve for x
    x = 762,801.53/762.46
  6. Step 6: Final answer
    x = 1,000.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.