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Finding the Fourth Proportional to 892.95, 1,231.16 and 780.45

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Solution

The fourth proportional to 892.95, 1,231.16 and 780.45 is: 1,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.95 : 1,231.16 = 780.45 : x
  2. Step 2: Convert to fraction form
    892.95/1,231.16 = 780.45/x
  3. Step 3: Cross multiply
    892.95x = 1,231.16 × 780.45
  4. Step 4: Simplify right side
    892.95x = 960,854.92
  5. Step 5: Solve for x
    x = 960,854.92/892.95
  6. Step 6: Final answer
    x = 1,076.05

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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.