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Finding the Fourth Proportional to 1,191.76, 1,785.24 and 820.40

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Solution

The fourth proportional to 1,191.76, 1,785.24 and 820.40 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.76 : 1,785.24 = 820.40 : x
  2. Step 2: Convert to fraction form
    1,191.76/1,785.24 = 820.40/x
  3. Step 3: Cross multiply
    1,191.76x = 1,785.24 × 820.40
  4. Step 4: Simplify right side
    1,191.76x = 1,464,610.90
  5. Step 5: Solve for x
    x = 1,464,610.90/1,191.76
  6. Step 6: Final answer
    x = 1,228.95

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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.