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Finding the Fourth Proportional to 877.20, 1,311.93 and 780.38

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Solution

The fourth proportional to 877.20, 1,311.93 and 780.38 is: 1,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,311.93 = 780.38 : x
  2. Step 2: Convert to fraction form
    877.20/1,311.93 = 780.38/x
  3. Step 3: Cross multiply
    877.20x = 1,311.93 × 780.38
  4. Step 4: Simplify right side
    877.20x = 1,023,812.97
  5. Step 5: Solve for x
    x = 1,023,812.97/877.20
  6. Step 6: Final answer
    x = 1,167.13

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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.