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Finding the Fourth Proportional to 1,170.78, 1,754.55 and 737.16

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Solution

The fourth proportional to 1,170.78, 1,754.55 and 737.16 is: 1,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.78 : 1,754.55 = 737.16 : x
  2. Step 2: Convert to fraction form
    1,170.78/1,754.55 = 737.16/x
  3. Step 3: Cross multiply
    1,170.78x = 1,754.55 × 737.16
  4. Step 4: Simplify right side
    1,170.78x = 1,293,384.08
  5. Step 5: Solve for x
    x = 1,293,384.08/1,170.78
  6. Step 6: Final answer
    x = 1,104.72

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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.