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Finding the Fourth Proportional to 894.39, 1,338.33 and 787.47

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Solution

The fourth proportional to 894.39, 1,338.33 and 787.47 is: 1,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,338.33 = 787.47 : x
  2. Step 2: Convert to fraction form
    894.39/1,338.33 = 787.47/x
  3. Step 3: Cross multiply
    894.39x = 1,338.33 × 787.47
  4. Step 4: Simplify right side
    894.39x = 1,053,894.73
  5. Step 5: Solve for x
    x = 1,053,894.73/894.39
  6. Step 6: Final answer
    x = 1,178.34

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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.