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Finding the Fourth Proportional to 1,164.11, 1,606.46 and 640.13

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Solution

The fourth proportional to 1,164.11, 1,606.46 and 640.13 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.11 : 1,606.46 = 640.13 : x
  2. Step 2: Convert to fraction form
    1,164.11/1,606.46 = 640.13/x
  3. Step 3: Cross multiply
    1,164.11x = 1,606.46 × 640.13
  4. Step 4: Simplify right side
    1,164.11x = 1,028,332.01
  5. Step 5: Solve for x
    x = 1,028,332.01/1,164.11
  6. Step 6: Final answer
    x = 883.37

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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.