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Finding the Fourth Proportional to 1,164.97, 1,607.61 and 667.63

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Solution

The fourth proportional to 1,164.97, 1,607.61 and 667.63 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.97 : 1,607.61 = 667.63 : x
  2. Step 2: Convert to fraction form
    1,164.97/1,607.61 = 667.63/x
  3. Step 3: Cross multiply
    1,164.97x = 1,607.61 × 667.63
  4. Step 4: Simplify right side
    1,164.97x = 1,073,288.66
  5. Step 5: Solve for x
    x = 1,073,288.66/1,164.97
  6. Step 6: Final answer
    x = 921.30

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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.