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Finding the Fourth Proportional to 624.60, 861.94 and 362.61

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Solution

The fourth proportional to 624.60, 861.94 and 362.61 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 861.94 = 362.61 : x
  2. Step 2: Convert to fraction form
    624.60/861.94 = 362.61/x
  3. Step 3: Cross multiply
    624.60x = 861.94 × 362.61
  4. Step 4: Simplify right side
    624.60x = 312,548.06
  5. Step 5: Solve for x
    x = 312,548.06/624.60
  6. Step 6: Final answer
    x = 500.40

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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.