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Finding the Fourth Proportional to 828.72, 1,240.68 and 624.15

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Solution

The fourth proportional to 828.72, 1,240.68 and 624.15 is: 934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.72 : 1,240.68 = 624.15 : x
  2. Step 2: Convert to fraction form
    828.72/1,240.68 = 624.15/x
  3. Step 3: Cross multiply
    828.72x = 1,240.68 × 624.15
  4. Step 4: Simplify right side
    828.72x = 774,370.42
  5. Step 5: Solve for x
    x = 774,370.42/828.72
  6. Step 6: Final answer
    x = 934.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.