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Finding the Fourth Proportional to 1,171.74, 1,616.79 and 757.50

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Solution

The fourth proportional to 1,171.74, 1,616.79 and 757.50 is: 1,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.74 : 1,616.79 = 757.50 : x
  2. Step 2: Convert to fraction form
    1,171.74/1,616.79 = 757.50/x
  3. Step 3: Cross multiply
    1,171.74x = 1,616.79 × 757.50
  4. Step 4: Simplify right side
    1,171.74x = 1,224,718.43
  5. Step 5: Solve for x
    x = 1,224,718.43/1,171.74
  6. Step 6: Final answer
    x = 1,045.21

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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.