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Finding the Fourth Proportional to 1,288.36, 1,778.00 and 757.40

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Solution

The fourth proportional to 1,288.36, 1,778.00 and 757.40 is: 1,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.36 : 1,778.00 = 757.40 : x
  2. Step 2: Convert to fraction form
    1,288.36/1,778.00 = 757.40/x
  3. Step 3: Cross multiply
    1,288.36x = 1,778.00 × 757.40
  4. Step 4: Simplify right side
    1,288.36x = 1,346,658.78
  5. Step 5: Solve for x
    x = 1,346,658.78/1,288.36
  6. Step 6: Final answer
    x = 1,045.25

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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.