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Finding the Fourth Proportional to 904.61, 1,245.20 and 787.97

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Solution

The fourth proportional to 904.61, 1,245.20 and 787.97 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.61 : 1,245.20 = 787.97 : x
  2. Step 2: Convert to fraction form
    904.61/1,245.20 = 787.97/x
  3. Step 3: Cross multiply
    904.61x = 1,245.20 × 787.97
  4. Step 4: Simplify right side
    904.61x = 981,170.08
  5. Step 5: Solve for x
    x = 981,170.08/904.61
  6. Step 6: Final answer
    x = 1,084.64

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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.