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Finding the Fourth Proportional to 894.54, 1,340.46 and 663.06

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Solution

The fourth proportional to 894.54, 1,340.46 and 663.06 is: 993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.54 : 1,340.46 = 663.06 : x
  2. Step 2: Convert to fraction form
    894.54/1,340.46 = 663.06/x
  3. Step 3: Cross multiply
    894.54x = 1,340.46 × 663.06
  4. Step 4: Simplify right side
    894.54x = 888,805.41
  5. Step 5: Solve for x
    x = 888,805.41/894.54
  6. Step 6: Final answer
    x = 993.59

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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.