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Finding the Fourth Proportional to 914.20, 1,374.33 and 846.56

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Solution

The fourth proportional to 914.20, 1,374.33 and 846.56 is: 1,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,374.33 = 846.56 : x
  2. Step 2: Convert to fraction form
    914.20/1,374.33 = 846.56/x
  3. Step 3: Cross multiply
    914.20x = 1,374.33 × 846.56
  4. Step 4: Simplify right side
    914.20x = 1,163,452.80
  5. Step 5: Solve for x
    x = 1,163,452.80/914.20
  6. Step 6: Final answer
    x = 1,272.65

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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.