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Finding the Fourth Proportional to 818.53, 1,227.80 and 495.95

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Solution

The fourth proportional to 818.53, 1,227.80 and 495.95 is: 743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.53 : 1,227.80 = 495.95 : x
  2. Step 2: Convert to fraction form
    818.53/1,227.80 = 495.95/x
  3. Step 3: Cross multiply
    818.53x = 1,227.80 × 495.95
  4. Step 4: Simplify right side
    818.53x = 608,922.51
  5. Step 5: Solve for x
    x = 608,922.51/818.53
  6. Step 6: Final answer
    x = 743.92

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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.