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Finding the Fourth Proportional to 1,049.68, 1,574.34 and 280

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Solution

The fourth proportional to 1,049.68, 1,574.34 and 280 is: 419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.68 : 1,574.34 = 280 : x
  2. Step 2: Convert to fraction form
    1,049.68/1,574.34 = 280/x
  3. Step 3: Cross multiply
    1,049.68x = 1,574.34 × 280
  4. Step 4: Simplify right side
    1,049.68x = 440,815.20
  5. Step 5: Solve for x
    x = 440,815.20/1,049.68
  6. Step 6: Final answer
    x = 419.95

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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.