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Finding the Fourth Proportional to 1,520.26, 2,278.95 and 655.18

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Solution

The fourth proportional to 1,520.26, 2,278.95 and 655.18 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.26 : 2,278.95 = 655.18 : x
  2. Step 2: Convert to fraction form
    1,520.26/2,278.95 = 655.18/x
  3. Step 3: Cross multiply
    1,520.26x = 2,278.95 × 655.18
  4. Step 4: Simplify right side
    1,520.26x = 1,493,122.46
  5. Step 5: Solve for x
    x = 1,493,122.46/1,520.26
  6. Step 6: Final answer
    x = 982.15

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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.