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Finding the Fourth Proportional to 723.96, 998.51 and 429.12

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Solution

The fourth proportional to 723.96, 998.51 and 429.12 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.96 : 998.51 = 429.12 : x
  2. Step 2: Convert to fraction form
    723.96/998.51 = 429.12/x
  3. Step 3: Cross multiply
    723.96x = 998.51 × 429.12
  4. Step 4: Simplify right side
    723.96x = 428,478.47
  5. Step 5: Solve for x
    x = 428,478.47/723.96
  6. Step 6: Final answer
    x = 591.85

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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.