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Finding the Fourth Proportional to 742.87, 1,018.51 and 729.70

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Solution

The fourth proportional to 742.87, 1,018.51 and 729.70 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,018.51 = 729.70 : x
  2. Step 2: Convert to fraction form
    742.87/1,018.51 = 729.70/x
  3. Step 3: Cross multiply
    742.87x = 1,018.51 × 729.70
  4. Step 4: Simplify right side
    742.87x = 743,206.75
  5. Step 5: Solve for x
    x = 743,206.75/742.87
  6. Step 6: Final answer
    x = 1,000.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.