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Finding the Fourth Proportional to 1,050.28, 1,575.42 and 280.78

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Solution

The fourth proportional to 1,050.28, 1,575.42 and 280.78 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.28 : 1,575.42 = 280.78 : x
  2. Step 2: Convert to fraction form
    1,050.28/1,575.42 = 280.78/x
  3. Step 3: Cross multiply
    1,050.28x = 1,575.42 × 280.78
  4. Step 4: Simplify right side
    1,050.28x = 442,349.45
  5. Step 5: Solve for x
    x = 442,349.45/1,050.28
  6. Step 6: Final answer
    x = 421.17

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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.