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Finding the Fourth Proportional to 623.82, 861.24 and 427.62

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Solution

The fourth proportional to 623.82, 861.24 and 427.62 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.82 : 861.24 = 427.62 : x
  2. Step 2: Convert to fraction form
    623.82/861.24 = 427.62/x
  3. Step 3: Cross multiply
    623.82x = 861.24 × 427.62
  4. Step 4: Simplify right side
    623.82x = 368,283.45
  5. Step 5: Solve for x
    x = 368,283.45/623.82
  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.