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Finding the Fourth Proportional to 624.34, 861.66 and 362.44

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Solution

The fourth proportional to 624.34, 861.66 and 362.44 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.34 : 861.66 = 362.44 : x
  2. Step 2: Convert to fraction form
    624.34/861.66 = 362.44/x
  3. Step 3: Cross multiply
    624.34x = 861.66 × 362.44
  4. Step 4: Simplify right side
    624.34x = 312,300.05
  5. Step 5: Solve for x
    x = 312,300.05/624.34
  6. Step 6: Final answer
    x = 500.21

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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.