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Finding the Fourth Proportional to 914.20, 1,371.90 and 853.45

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Solution

The fourth proportional to 914.20, 1,371.90 and 853.45 is: 1,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,371.90 = 853.45 : x
  2. Step 2: Convert to fraction form
    914.20/1,371.90 = 853.45/x
  3. Step 3: Cross multiply
    914.20x = 1,371.90 × 853.45
  4. Step 4: Simplify right side
    914.20x = 1,170,847.83
  5. Step 5: Solve for x
    x = 1,170,847.83/914.20
  6. Step 6: Final answer
    x = 1,280.74

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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.