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Finding the Fourth Proportional to 724.32, 994.89 and 710.49

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Solution

The fourth proportional to 724.32, 994.89 and 710.49 is: 975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.32 : 994.89 = 710.49 : x
  2. Step 2: Convert to fraction form
    724.32/994.89 = 710.49/x
  3. Step 3: Cross multiply
    724.32x = 994.89 × 710.49
  4. Step 4: Simplify right side
    724.32x = 706,859.40
  5. Step 5: Solve for x
    x = 706,859.40/724.32
  6. Step 6: Final answer
    x = 975.89

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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.