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Finding the Fourth Proportional to 891.05, 1,337.18 and 853.38

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Solution

The fourth proportional to 891.05, 1,337.18 and 853.38 is: 1,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.05 : 1,337.18 = 853.38 : x
  2. Step 2: Convert to fraction form
    891.05/1,337.18 = 853.38/x
  3. Step 3: Cross multiply
    891.05x = 1,337.18 × 853.38
  4. Step 4: Simplify right side
    891.05x = 1,141,118.40
  5. Step 5: Solve for x
    x = 1,141,118.40/891.05
  6. Step 6: Final answer
    x = 1,280.65

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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.