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Finding the Fourth Proportional to 827.04, 1,240.75 and 480.66

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Solution

The fourth proportional to 827.04, 1,240.75 and 480.66 is: 721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,240.75 = 480.66 : x
  2. Step 2: Convert to fraction form
    827.04/1,240.75 = 480.66/x
  3. Step 3: Cross multiply
    827.04x = 1,240.75 × 480.66
  4. Step 4: Simplify right side
    827.04x = 596,378.90
  5. Step 5: Solve for x
    x = 596,378.90/827.04
  6. Step 6: Final answer
    x = 721.10

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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.