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Finding the Fourth Proportional to 732.85, 1,002.37 and 721.51

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Solution

The fourth proportional to 732.85, 1,002.37 and 721.51 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.85 : 1,002.37 = 721.51 : x
  2. Step 2: Convert to fraction form
    732.85/1,002.37 = 721.51/x
  3. Step 3: Cross multiply
    732.85x = 1,002.37 × 721.51
  4. Step 4: Simplify right side
    732.85x = 723,219.98
  5. Step 5: Solve for x
    x = 723,219.98/732.85
  6. Step 6: Final answer
    x = 986.86

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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.