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Finding the Fourth Proportional to 614.46, 843.19 and 558.78

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Solution

The fourth proportional to 614.46, 843.19 and 558.78 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.46 : 843.19 = 558.78 : x
  2. Step 2: Convert to fraction form
    614.46/843.19 = 558.78/x
  3. Step 3: Cross multiply
    614.46x = 843.19 × 558.78
  4. Step 4: Simplify right side
    614.46x = 471,154.72
  5. Step 5: Solve for x
    x = 471,154.72/614.46
  6. Step 6: Final answer
    x = 766.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.