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Finding the Fourth Proportional to 1,171.27, 1,616.28 and 640.05

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Solution

The fourth proportional to 1,171.27, 1,616.28 and 640.05 is: 883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.27 : 1,616.28 = 640.05 : x
  2. Step 2: Convert to fraction form
    1,171.27/1,616.28 = 640.05/x
  3. Step 3: Cross multiply
    1,171.27x = 1,616.28 × 640.05
  4. Step 4: Simplify right side
    1,171.27x = 1,034,491.93
  5. Step 5: Solve for x
    x = 1,034,491.93/1,171.27
  6. Step 6: Final answer
    x = 883.22

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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.