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Finding the Fourth Proportional to 1,171.70, 1,617.24 and 674.60

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Solution

The fourth proportional to 1,171.70, 1,617.24 and 674.60 is: 931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.70 : 1,617.24 = 674.60 : x
  2. Step 2: Convert to fraction form
    1,171.70/1,617.24 = 674.60/x
  3. Step 3: Cross multiply
    1,171.70x = 1,617.24 × 674.60
  4. Step 4: Simplify right side
    1,171.70x = 1,090,990.10
  5. Step 5: Solve for x
    x = 1,090,990.10/1,171.70
  6. Step 6: Final answer
    x = 931.12

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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.