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Finding the Fourth Proportional to 723.46, 1,086.27 and 415.66

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Solution

The fourth proportional to 723.46, 1,086.27 and 415.66 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.46 : 1,086.27 = 415.66 : x
  2. Step 2: Convert to fraction form
    723.46/1,086.27 = 415.66/x
  3. Step 3: Cross multiply
    723.46x = 1,086.27 × 415.66
  4. Step 4: Simplify right side
    723.46x = 451,518.99
  5. Step 5: Solve for x
    x = 451,518.99/723.46
  6. Step 6: Final answer
    x = 624.11

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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.