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Finding the Fourth Proportional to 723.07, 991.32 and 709.93

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Solution

The fourth proportional to 723.07, 991.32 and 709.93 is: 973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.07 : 991.32 = 709.93 : x
  2. Step 2: Convert to fraction form
    723.07/991.32 = 709.93/x
  3. Step 3: Cross multiply
    723.07x = 991.32 × 709.93
  4. Step 4: Simplify right side
    723.07x = 703,770.38
  5. Step 5: Solve for x
    x = 703,770.38/723.07
  6. Step 6: Final answer
    x = 973.31

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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.