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Finding the Fourth Proportional to 891.90, 1,337.88 and 275.60

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Solution

The fourth proportional to 891.90, 1,337.88 and 275.60 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.90 : 1,337.88 = 275.60 : x
  2. Step 2: Convert to fraction form
    891.90/1,337.88 = 275.60/x
  3. Step 3: Cross multiply
    891.90x = 1,337.88 × 275.60
  4. Step 4: Simplify right side
    891.90x = 368,719.73
  5. Step 5: Solve for x
    x = 368,719.73/891.90
  6. Step 6: Final answer
    x = 413.41

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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.