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Finding the Fourth Proportional to 1,060.65, 1,591.07 and 280.64

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Solution

The fourth proportional to 1,060.65, 1,591.07 and 280.64 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.65 : 1,591.07 = 280.64 : x
  2. Step 2: Convert to fraction form
    1,060.65/1,591.07 = 280.64/x
  3. Step 3: Cross multiply
    1,060.65x = 1,591.07 × 280.64
  4. Step 4: Simplify right side
    1,060.65x = 446,520.46
  5. Step 5: Solve for x
    x = 446,520.46/1,060.65
  6. Step 6: Final answer
    x = 420.99

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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.