Home / 1,315.38-1,972.95-449.64

Finding the Fourth Proportional to 1,315.38, 1,972.95 and 449.64

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Solution

The fourth proportional to 1,315.38, 1,972.95 and 449.64 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.38 : 1,972.95 = 449.64 : x
  2. Step 2: Convert to fraction form
    1,315.38/1,972.95 = 449.64/x
  3. Step 3: Cross multiply
    1,315.38x = 1,972.95 × 449.64
  4. Step 4: Simplify right side
    1,315.38x = 887,117.24
  5. Step 5: Solve for x
    x = 887,117.24/1,315.38
  6. Step 6: Final answer
    x = 674.42

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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.