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Finding the Fourth Proportional to 1,288.94, 1,778.37 and 757.52

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Solution

The fourth proportional to 1,288.94, 1,778.37 and 757.52 is: 1,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.94 : 1,778.37 = 757.52 : x
  2. Step 2: Convert to fraction form
    1,288.94/1,778.37 = 757.52/x
  3. Step 3: Cross multiply
    1,288.94x = 1,778.37 × 757.52
  4. Step 4: Simplify right side
    1,288.94x = 1,347,150.84
  5. Step 5: Solve for x
    x = 1,347,150.84/1,288.94
  6. Step 6: Final answer
    x = 1,045.16

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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.