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Finding the Fourth Proportional to 818.16, 1,227.60 and 784.56

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Solution

The fourth proportional to 818.16, 1,227.60 and 784.56 is: 1,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.16 : 1,227.60 = 784.56 : x
  2. Step 2: Convert to fraction form
    818.16/1,227.60 = 784.56/x
  3. Step 3: Cross multiply
    818.16x = 1,227.60 × 784.56
  4. Step 4: Simplify right side
    818.16x = 963,125.86
  5. Step 5: Solve for x
    x = 963,125.86/818.16
  6. Step 6: Final answer
    x = 1,177.19

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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.