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Finding the Fourth Proportional to 1,288.18, 1,777.17 and 728.49

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Solution

The fourth proportional to 1,288.18, 1,777.17 and 728.49 is: 1,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.18 : 1,777.17 = 728.49 : x
  2. Step 2: Convert to fraction form
    1,288.18/1,777.17 = 728.49/x
  3. Step 3: Cross multiply
    1,288.18x = 1,777.17 × 728.49
  4. Step 4: Simplify right side
    1,288.18x = 1,294,650.57
  5. Step 5: Solve for x
    x = 1,294,650.57/1,288.18
  6. Step 6: Final answer
    x = 1,005.02

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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.