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Finding the Fourth Proportional to 1,165.20, 1,608.02 and 667.88

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Solution

The fourth proportional to 1,165.20, 1,608.02 and 667.88 is: 921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.20 : 1,608.02 = 667.88 : x
  2. Step 2: Convert to fraction form
    1,165.20/1,608.02 = 667.88/x
  3. Step 3: Cross multiply
    1,165.20x = 1,608.02 × 667.88
  4. Step 4: Simplify right side
    1,165.20x = 1,073,964.40
  5. Step 5: Solve for x
    x = 1,073,964.40/1,165.20
  6. Step 6: Final answer
    x = 921.70

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1.5x scale

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.