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Finding the Fourth Proportional to 664.38, 1,000.13 and 511.16

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Solution

The fourth proportional to 664.38, 1,000.13 and 511.16 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.38 : 1,000.13 = 511.16 : x
  2. Step 2: Convert to fraction form
    664.38/1,000.13 = 511.16/x
  3. Step 3: Cross multiply
    664.38x = 1,000.13 × 511.16
  4. Step 4: Simplify right side
    664.38x = 511,218.89
  5. Step 5: Solve for x
    x = 511,218.89/664.38
  6. Step 6: Final answer
    x = 769.47

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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.