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Finding the Fourth Proportional to 754.45, 1,136.19 and 664.13

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Solution

The fourth proportional to 754.45, 1,136.19 and 664.13 is: 1,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.45 : 1,136.19 = 664.13 : x
  2. Step 2: Convert to fraction form
    754.45/1,136.19 = 664.13/x
  3. Step 3: Cross multiply
    754.45x = 1,136.19 × 664.13
  4. Step 4: Simplify right side
    754.45x = 754,577.86
  5. Step 5: Solve for x
    x = 754,577.86/754.45
  6. Step 6: Final answer
    x = 1,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.