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Finding the Fourth Proportional to 1,067.57, 1,602.26 and 418.76

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Solution

The fourth proportional to 1,067.57, 1,602.26 and 418.76 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.57 : 1,602.26 = 418.76 : x
  2. Step 2: Convert to fraction form
    1,067.57/1,602.26 = 418.76/x
  3. Step 3: Cross multiply
    1,067.57x = 1,602.26 × 418.76
  4. Step 4: Simplify right side
    1,067.57x = 670,962.40
  5. Step 5: Solve for x
    x = 670,962.40/1,067.57
  6. Step 6: Final answer
    x = 628.49

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.