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Finding the Fourth Proportional to 1,280.02, 1,923.78 and 871.78

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Solution

The fourth proportional to 1,280.02, 1,923.78 and 871.78 is: 1,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.02 : 1,923.78 = 871.78 : x
  2. Step 2: Convert to fraction form
    1,280.02/1,923.78 = 871.78/x
  3. Step 3: Cross multiply
    1,280.02x = 1,923.78 × 871.78
  4. Step 4: Simplify right side
    1,280.02x = 1,677,112.93
  5. Step 5: Solve for x
    x = 1,677,112.93/1,280.02
  6. Step 6: Final answer
    x = 1,310.22

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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.