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Finding the Fourth Proportional to 1,049.91, 1,574.87 and 280.41

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Solution

The fourth proportional to 1,049.91, 1,574.87 and 280.41 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.91 : 1,574.87 = 280.41 : x
  2. Step 2: Convert to fraction form
    1,049.91/1,574.87 = 280.41/x
  3. Step 3: Cross multiply
    1,049.91x = 1,574.87 × 280.41
  4. Step 4: Simplify right side
    1,049.91x = 441,607.89
  5. Step 5: Solve for x
    x = 441,607.89/1,049.91
  6. Step 6: Final answer
    x = 420.62

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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.