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Finding the Fourth Proportional to 1,282.65, 1,777.49 and 1,258.04

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Solution

The fourth proportional to 1,282.65, 1,777.49 and 1,258.04 is: 1,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.65 : 1,777.49 = 1,258.04 : x
  2. Step 2: Convert to fraction form
    1,282.65/1,777.49 = 1,258.04/x
  3. Step 3: Cross multiply
    1,282.65x = 1,777.49 × 1,258.04
  4. Step 4: Simplify right side
    1,282.65x = 2,236,153.52
  5. Step 5: Solve for x
    x = 2,236,153.52/1,282.65
  6. Step 6: Final answer
    x = 1,743.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.