Home / 1,543.24-2,315.61-721.57

Finding the Fourth Proportional to 1,543.24, 2,315.61 and 721.57

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Solution

The fourth proportional to 1,543.24, 2,315.61 and 721.57 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.24 : 2,315.61 = 721.57 : x
  2. Step 2: Convert to fraction form
    1,543.24/2,315.61 = 721.57/x
  3. Step 3: Cross multiply
    1,543.24x = 2,315.61 × 721.57
  4. Step 4: Simplify right side
    1,543.24x = 1,670,868.78
  5. Step 5: Solve for x
    x = 1,670,868.78/1,543.24
  6. Step 6: Final answer
    x = 1,082.70

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1.5x scale

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.