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Finding the Fourth Proportional to 724.28, 998.06 and 524.77

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Solution

The fourth proportional to 724.28, 998.06 and 524.77 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 998.06 = 524.77 : x
  2. Step 2: Convert to fraction form
    724.28/998.06 = 524.77/x
  3. Step 3: Cross multiply
    724.28x = 998.06 × 524.77
  4. Step 4: Simplify right side
    724.28x = 523,750.76
  5. Step 5: Solve for x
    x = 523,750.76/724.28
  6. Step 6: Final answer
    x = 723.13

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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.