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Finding the Fourth Proportional to 623.97, 861.21 and 427.74

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Solution

The fourth proportional to 623.97, 861.21 and 427.74 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.97 : 861.21 = 427.74 : x
  2. Step 2: Convert to fraction form
    623.97/861.21 = 427.74/x
  3. Step 3: Cross multiply
    623.97x = 861.21 × 427.74
  4. Step 4: Simplify right side
    623.97x = 368,373.97
  5. Step 5: Solve for x
    x = 368,373.97/623.97
  6. Step 6: Final answer
    x = 590.37

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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.