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Finding the Fourth Proportional to 1,067.34, 1,472.10 and 674.22

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Solution

The fourth proportional to 1,067.34, 1,472.10 and 674.22 is: 929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.34 : 1,472.10 = 674.22 : x
  2. Step 2: Convert to fraction form
    1,067.34/1,472.10 = 674.22/x
  3. Step 3: Cross multiply
    1,067.34x = 1,472.10 × 674.22
  4. Step 4: Simplify right side
    1,067.34x = 992,519.26
  5. Step 5: Solve for x
    x = 992,519.26/1,067.34
  6. Step 6: Final answer
    x = 929.90

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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.