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Finding the Fourth Proportional to 1,288.16, 1,777.67 and 756.92

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Solution

The fourth proportional to 1,288.16, 1,777.67 and 756.92 is: 1,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.16 : 1,777.67 = 756.92 : x
  2. Step 2: Convert to fraction form
    1,288.16/1,777.67 = 756.92/x
  3. Step 3: Cross multiply
    1,288.16x = 1,777.67 × 756.92
  4. Step 4: Simplify right side
    1,288.16x = 1,345,541.30
  5. Step 5: Solve for x
    x = 1,345,541.30/1,288.16
  6. Step 6: Final answer
    x = 1,044.55

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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.