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Finding the Fourth Proportional to 1,164.00, 1,606.29 and 640.03

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Solution

The fourth proportional to 1,164.00, 1,606.29 and 640.03 is: 883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.00 : 1,606.29 = 640.03 : x
  2. Step 2: Convert to fraction form
    1,164.00/1,606.29 = 640.03/x
  3. Step 3: Cross multiply
    1,164.00x = 1,606.29 × 640.03
  4. Step 4: Simplify right side
    1,164.00x = 1,028,077.80
  5. Step 5: Solve for x
    x = 1,028,077.80/1,164.00
  6. Step 6: Final answer
    x = 883.23

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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.