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Finding the Fourth Proportional to 1,171.57, 1,616.77 and 640.46

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Solution

The fourth proportional to 1,171.57, 1,616.77 and 640.46 is: 883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.57 : 1,616.77 = 640.46 : x
  2. Step 2: Convert to fraction form
    1,171.57/1,616.77 = 640.46/x
  3. Step 3: Cross multiply
    1,171.57x = 1,616.77 × 640.46
  4. Step 4: Simplify right side
    1,171.57x = 1,035,475.29
  5. Step 5: Solve for x
    x = 1,035,475.29/1,171.57
  6. Step 6: Final answer
    x = 883.83

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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.