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Finding the Fourth Proportional to 624.62, 862.05 and 362.63

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Solution

The fourth proportional to 624.62, 862.05 and 362.63 is: 500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 862.05 = 362.63 : x
  2. Step 2: Convert to fraction form
    624.62/862.05 = 362.63/x
  3. Step 3: Cross multiply
    624.62x = 862.05 × 362.63
  4. Step 4: Simplify right side
    624.62x = 312,600.88
  5. Step 5: Solve for x
    x = 312,600.88/624.62
  6. Step 6: Final answer
    x = 500.47

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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.