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Finding the Fourth Proportional to 624.08, 861.06 and 427.64

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Solution

The fourth proportional to 624.08, 861.06 and 427.64 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.08 : 861.06 = 427.64 : x
  2. Step 2: Convert to fraction form
    624.08/861.06 = 427.64/x
  3. Step 3: Cross multiply
    624.08x = 861.06 × 427.64
  4. Step 4: Simplify right side
    624.08x = 368,223.70
  5. Step 5: Solve for x
    x = 368,223.70/624.08
  6. Step 6: Final answer
    x = 590.03

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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.