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Finding the Fourth Proportional to 981.11, 1,470.95 and 845.75

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Solution

The fourth proportional to 981.11, 1,470.95 and 845.75 is: 1,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.11 : 1,470.95 = 845.75 : x
  2. Step 2: Convert to fraction form
    981.11/1,470.95 = 845.75/x
  3. Step 3: Cross multiply
    981.11x = 1,470.95 × 845.75
  4. Step 4: Simplify right side
    981.11x = 1,244,051.73
  5. Step 5: Solve for x
    x = 1,244,051.73/981.11
  6. Step 6: Final answer
    x = 1,268.00

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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.