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Finding the Fourth Proportional to 624.14, 861.19 and 427.58

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Solution

The fourth proportional to 624.14, 861.19 and 427.58 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.14 : 861.19 = 427.58 : x
  2. Step 2: Convert to fraction form
    624.14/861.19 = 427.58/x
  3. Step 3: Cross multiply
    624.14x = 861.19 × 427.58
  4. Step 4: Simplify right side
    624.14x = 368,222.25
  5. Step 5: Solve for x
    x = 368,222.25/624.14
  6. Step 6: Final answer
    x = 589.97

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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.