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Finding the Fourth Proportional to 624.32, 861.37 and 362.29

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Solution

The fourth proportional to 624.32, 861.37 and 362.29 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 861.37 = 362.29 : x
  2. Step 2: Convert to fraction form
    624.32/861.37 = 362.29/x
  3. Step 3: Cross multiply
    624.32x = 861.37 × 362.29
  4. Step 4: Simplify right side
    624.32x = 312,065.74
  5. Step 5: Solve for x
    x = 312,065.74/624.32
  6. Step 6: Final answer
    x = 499.85

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1.5x scale

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.