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Finding the Fourth Proportional to 1,280.52, 1,769.40 and 1,001.52

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Solution

The fourth proportional to 1,280.52, 1,769.40 and 1,001.52 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.52 : 1,769.40 = 1,001.52 : x
  2. Step 2: Convert to fraction form
    1,280.52/1,769.40 = 1,001.52/x
  3. Step 3: Cross multiply
    1,280.52x = 1,769.40 × 1,001.52
  4. Step 4: Simplify right side
    1,280.52x = 1,772,089.49
  5. Step 5: Solve for x
    x = 1,772,089.49/1,280.52
  6. Step 6: Final answer
    x = 1,383.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.