Home / 1,049.16-1,573.47-433.04

Finding the Fourth Proportional to 1,049.16, 1,573.47 and 433.04

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Solution

The fourth proportional to 1,049.16, 1,573.47 and 433.04 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.16 : 1,573.47 = 433.04 : x
  2. Step 2: Convert to fraction form
    1,049.16/1,573.47 = 433.04/x
  3. Step 3: Cross multiply
    1,049.16x = 1,573.47 × 433.04
  4. Step 4: Simplify right side
    1,049.16x = 681,375.45
  5. Step 5: Solve for x
    x = 681,375.45/1,049.16
  6. Step 6: Final answer
    x = 649.45

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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.