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Finding the Fourth Proportional to 723.32, 1,086.02 and 448.56

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Solution

The fourth proportional to 723.32, 1,086.02 and 448.56 is: 673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,086.02 = 448.56 : x
  2. Step 2: Convert to fraction form
    723.32/1,086.02 = 448.56/x
  3. Step 3: Cross multiply
    723.32x = 1,086.02 × 448.56
  4. Step 4: Simplify right side
    723.32x = 487,142.89
  5. Step 5: Solve for x
    x = 487,142.89/723.32
  6. Step 6: Final answer
    x = 673.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.