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Finding the Fourth Proportional to 723.62, 992.09 and 710.49

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Solution

The fourth proportional to 723.62, 992.09 and 710.49 is: 974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 992.09 = 710.49 : x
  2. Step 2: Convert to fraction form
    723.62/992.09 = 710.49/x
  3. Step 3: Cross multiply
    723.62x = 992.09 × 710.49
  4. Step 4: Simplify right side
    723.62x = 704,866.47
  5. Step 5: Solve for x
    x = 704,866.47/723.62
  6. Step 6: Final answer
    x = 974.09

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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.