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Finding the Fourth Proportional to 1,168.10, 1,752.75 and 778.38

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Solution

The fourth proportional to 1,168.10, 1,752.75 and 778.38 is: 1,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.10 : 1,752.75 = 778.38 : x
  2. Step 2: Convert to fraction form
    1,168.10/1,752.75 = 778.38/x
  3. Step 3: Cross multiply
    1,168.10x = 1,752.75 × 778.38
  4. Step 4: Simplify right side
    1,168.10x = 1,364,305.55
  5. Step 5: Solve for x
    x = 1,364,305.55/1,168.10
  6. Step 6: Final answer
    x = 1,167.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.