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Finding the Fourth Proportional to 624.45, 861.68 and 362.44

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Solution

The fourth proportional to 624.45, 861.68 and 362.44 is: 500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 861.68 = 362.44 : x
  2. Step 2: Convert to fraction form
    624.45/861.68 = 362.44/x
  3. Step 3: Cross multiply
    624.45x = 861.68 × 362.44
  4. Step 4: Simplify right side
    624.45x = 312,307.30
  5. Step 5: Solve for x
    x = 312,307.30/624.45
  6. Step 6: Final answer
    x = 500.13

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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.