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Finding the Fourth Proportional to 818.46, 1,129.62 and 523.86

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Solution

The fourth proportional to 818.46, 1,129.62 and 523.86 is: 723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.46 : 1,129.62 = 523.86 : x
  2. Step 2: Convert to fraction form
    818.46/1,129.62 = 523.86/x
  3. Step 3: Cross multiply
    818.46x = 1,129.62 × 523.86
  4. Step 4: Simplify right side
    818.46x = 591,762.73
  5. Step 5: Solve for x
    x = 591,762.73/818.46
  6. Step 6: Final answer
    x = 723.02

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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.