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Finding the Fourth Proportional to 729.02, 1,000.30 and 722.14

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Solution

The fourth proportional to 729.02, 1,000.30 and 722.14 is: 990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,000.30 = 722.14 : x
  2. Step 2: Convert to fraction form
    729.02/1,000.30 = 722.14/x
  3. Step 3: Cross multiply
    729.02x = 1,000.30 × 722.14
  4. Step 4: Simplify right side
    729.02x = 722,356.64
  5. Step 5: Solve for x
    x = 722,356.64/729.02
  6. Step 6: Final answer
    x = 990.86

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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.