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Finding the Fourth Proportional to 731.35, 1,000.32 and 720.01

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Solution

The fourth proportional to 731.35, 1,000.32 and 720.01 is: 984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.35 : 1,000.32 = 720.01 : x
  2. Step 2: Convert to fraction form
    731.35/1,000.32 = 720.01/x
  3. Step 3: Cross multiply
    731.35x = 1,000.32 × 720.01
  4. Step 4: Simplify right side
    731.35x = 720,231.80
  5. Step 5: Solve for x
    x = 720,231.80/731.35
  6. Step 6: Final answer
    x = 984.80

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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.