Home / 1,049.20-1,573.80-279.70

Finding the Fourth Proportional to 1,049.20, 1,573.80 and 279.70

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Solution

The fourth proportional to 1,049.20, 1,573.80 and 279.70 is: 419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.20 : 1,573.80 = 279.70 : x
  2. Step 2: Convert to fraction form
    1,049.20/1,573.80 = 279.70/x
  3. Step 3: Cross multiply
    1,049.20x = 1,573.80 × 279.70
  4. Step 4: Simplify right side
    1,049.20x = 440,191.86
  5. Step 5: Solve for x
    x = 440,191.86/1,049.20
  6. Step 6: Final answer
    x = 419.55

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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.