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Finding the Fourth Proportional to 1,142.20, 1,713.30 and 777.70

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Solution

The fourth proportional to 1,142.20, 1,713.30 and 777.70 is: 1,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.20 : 1,713.30 = 777.70 : x
  2. Step 2: Convert to fraction form
    1,142.20/1,713.30 = 777.70/x
  3. Step 3: Cross multiply
    1,142.20x = 1,713.30 × 777.70
  4. Step 4: Simplify right side
    1,142.20x = 1,332,433.41
  5. Step 5: Solve for x
    x = 1,332,433.41/1,142.20
  6. Step 6: Final answer
    x = 1,166.55

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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.