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Finding the Fourth Proportional to 624.46, 861.09 and 427.66

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Solution

The fourth proportional to 624.46, 861.09 and 427.66 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.46 : 861.09 = 427.66 : x
  2. Step 2: Convert to fraction form
    624.46/861.09 = 427.66/x
  3. Step 3: Cross multiply
    624.46x = 861.09 × 427.66
  4. Step 4: Simplify right side
    624.46x = 368,253.75
  5. Step 5: Solve for x
    x = 368,253.75/624.46
  6. Step 6: Final answer
    x = 589.72

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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.