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Finding the Fourth Proportional to 723.57, 997.47 and 513.06

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Solution

The fourth proportional to 723.57, 997.47 and 513.06 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.57 : 997.47 = 513.06 : x
  2. Step 2: Convert to fraction form
    723.57/997.47 = 513.06/x
  3. Step 3: Cross multiply
    723.57x = 997.47 × 513.06
  4. Step 4: Simplify right side
    723.57x = 511,761.96
  5. Step 5: Solve for x
    x = 511,761.96/723.57
  6. Step 6: Final answer
    x = 707.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.