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Finding the Fourth Proportional to 558.32, 769.62 and 418.22

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Solution

The fourth proportional to 558.32, 769.62 and 418.22 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 769.62 = 418.22 : x
  2. Step 2: Convert to fraction form
    558.32/769.62 = 418.22/x
  3. Step 3: Cross multiply
    558.32x = 769.62 × 418.22
  4. Step 4: Simplify right side
    558.32x = 321,870.48
  5. Step 5: Solve for x
    x = 321,870.48/558.32
  6. Step 6: Final answer
    x = 576.50

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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.