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Finding the Fourth Proportional to 624.30, 860.80 and 499.86

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Solution

The fourth proportional to 624.30, 860.80 and 499.86 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 860.80 = 499.86 : x
  2. Step 2: Convert to fraction form
    624.30/860.80 = 499.86/x
  3. Step 3: Cross multiply
    624.30x = 860.80 × 499.86
  4. Step 4: Simplify right side
    624.30x = 430,278.24
  5. Step 5: Solve for x
    x = 430,278.24/624.30
  6. Step 6: Final answer
    x = 689.22

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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.