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Finding the Fourth Proportional to 624.17, 861.23 and 427.75

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Solution

The fourth proportional to 624.17, 861.23 and 427.75 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 861.23 = 427.75 : x
  2. Step 2: Convert to fraction form
    624.17/861.23 = 427.75/x
  3. Step 3: Cross multiply
    624.17x = 861.23 × 427.75
  4. Step 4: Simplify right side
    624.17x = 368,390.05
  5. Step 5: Solve for x
    x = 368,390.05/624.17
  6. Step 6: Final answer
    x = 590.21

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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.