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Finding the Fourth Proportional to 723.66, 999.03 and 458.19

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Solution

The fourth proportional to 723.66, 999.03 and 458.19 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 999.03 = 458.19 : x
  2. Step 2: Convert to fraction form
    723.66/999.03 = 458.19/x
  3. Step 3: Cross multiply
    723.66x = 999.03 × 458.19
  4. Step 4: Simplify right side
    723.66x = 457,745.56
  5. Step 5: Solve for x
    x = 457,745.56/723.66
  6. Step 6: Final answer
    x = 632.54

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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.