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Finding the Fourth Proportional to 624.86, 862.26 and 362.87

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Solution

The fourth proportional to 624.86, 862.26 and 362.87 is: 500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.86 : 862.26 = 362.87 : x
  2. Step 2: Convert to fraction form
    624.86/862.26 = 362.87/x
  3. Step 3: Cross multiply
    624.86x = 862.26 × 362.87
  4. Step 4: Simplify right side
    624.86x = 312,883.97
  5. Step 5: Solve for x
    x = 312,883.97/624.86
  6. Step 6: Final answer
    x = 500.73

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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.