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Finding the Fourth Proportional to 1,515.24, 2,271.42 and 649

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Solution

The fourth proportional to 1,515.24, 2,271.42 and 649 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.24 : 2,271.42 = 649 : x
  2. Step 2: Convert to fraction form
    1,515.24/2,271.42 = 649/x
  3. Step 3: Cross multiply
    1,515.24x = 2,271.42 × 649
  4. Step 4: Simplify right side
    1,515.24x = 1,474,151.58
  5. Step 5: Solve for x
    x = 1,474,151.58/1,515.24
  6. Step 6: Final answer
    x = 972.88

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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.