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Finding the Fourth Proportional to 785.27, 1,177.07 and 264.80

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Solution

The fourth proportional to 785.27, 1,177.07 and 264.80 is: 396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.27 : 1,177.07 = 264.80 : x
  2. Step 2: Convert to fraction form
    785.27/1,177.07 = 264.80/x
  3. Step 3: Cross multiply
    785.27x = 1,177.07 × 264.80
  4. Step 4: Simplify right side
    785.27x = 311,680.93
  5. Step 5: Solve for x
    x = 311,680.93/785.27
  6. Step 6: Final answer
    x = 396.91

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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.