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Finding the Fourth Proportional to 1,067.50, 1,473.18 and 601.78

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Solution

The fourth proportional to 1,067.50, 1,473.18 and 601.78 is: 830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.50 : 1,473.18 = 601.78 : x
  2. Step 2: Convert to fraction form
    1,067.50/1,473.18 = 601.78/x
  3. Step 3: Cross multiply
    1,067.50x = 1,473.18 × 601.78
  4. Step 4: Simplify right side
    1,067.50x = 886,530.26
  5. Step 5: Solve for x
    x = 886,530.26/1,067.50
  6. Step 6: Final answer
    x = 830.47

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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.