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Finding the Fourth Proportional to 1,282.26, 1,769.28 and 778.01

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Solution

The fourth proportional to 1,282.26, 1,769.28 and 778.01 is: 1,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.26 : 1,769.28 = 778.01 : x
  2. Step 2: Convert to fraction form
    1,282.26/1,769.28 = 778.01/x
  3. Step 3: Cross multiply
    1,282.26x = 1,769.28 × 778.01
  4. Step 4: Simplify right side
    1,282.26x = 1,376,505.77
  5. Step 5: Solve for x
    x = 1,376,505.77/1,282.26
  6. Step 6: Final answer
    x = 1,073.50

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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.