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Finding the Fourth Proportional to 1,164.34, 1,606.80 and 640.39

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Solution

The fourth proportional to 1,164.34, 1,606.80 and 640.39 is: 883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,606.80 = 640.39 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,606.80 = 640.39/x
  3. Step 3: Cross multiply
    1,164.34x = 1,606.80 × 640.39
  4. Step 4: Simplify right side
    1,164.34x = 1,028,978.65
  5. Step 5: Solve for x
    x = 1,028,978.65/1,164.34
  6. Step 6: Final answer
    x = 883.74

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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.