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Finding the Fourth Proportional to 623.74, 861.06 and 428.26

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Solution

The fourth proportional to 623.74, 861.06 and 428.26 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.74 : 861.06 = 428.26 : x
  2. Step 2: Convert to fraction form
    623.74/861.06 = 428.26/x
  3. Step 3: Cross multiply
    623.74x = 861.06 × 428.26
  4. Step 4: Simplify right side
    623.74x = 368,757.56
  5. Step 5: Solve for x
    x = 368,757.56/623.74
  6. Step 6: Final answer
    x = 591.20

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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.