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Finding the Fourth Proportional to 827.76, 1,240 and 498.78

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Solution

The fourth proportional to 827.76, 1,240 and 498.78 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.76 : 1,240 = 498.78 : x
  2. Step 2: Convert to fraction form
    827.76/1,240 = 498.78/x
  3. Step 3: Cross multiply
    827.76x = 1,240 × 498.78
  4. Step 4: Simplify right side
    827.76x = 618,487.20
  5. Step 5: Solve for x
    x = 618,487.20/827.76
  6. Step 6: Final answer
    x = 747.18

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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.