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Finding the Fourth Proportional to 780.27, 1,170.15 and 414.85

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Solution

The fourth proportional to 780.27, 1,170.15 and 414.85 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.27 : 1,170.15 = 414.85 : x
  2. Step 2: Convert to fraction form
    780.27/1,170.15 = 414.85/x
  3. Step 3: Cross multiply
    780.27x = 1,170.15 × 414.85
  4. Step 4: Simplify right side
    780.27x = 485,428.80
  5. Step 5: Solve for x
    x = 485,428.80/780.27
  6. Step 6: Final answer
    x = 622.13

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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.