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Finding the Fourth Proportional to 1,281.83, 1,768.95 and 777.61

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Solution

The fourth proportional to 1,281.83, 1,768.95 and 777.61 is: 1,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.83 : 1,768.95 = 777.61 : x
  2. Step 2: Convert to fraction form
    1,281.83/1,768.95 = 777.61/x
  3. Step 3: Cross multiply
    1,281.83x = 1,768.95 × 777.61
  4. Step 4: Simplify right side
    1,281.83x = 1,375,540.48
  5. Step 5: Solve for x
    x = 1,375,540.48/1,281.83
  6. Step 6: Final answer
    x = 1,073.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.