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Finding the Fourth Proportional to 1,067.76, 1,600.43 and 417.96

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Solution

The fourth proportional to 1,067.76, 1,600.43 and 417.96 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,600.43 = 417.96 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,600.43 = 417.96/x
  3. Step 3: Cross multiply
    1,067.76x = 1,600.43 × 417.96
  4. Step 4: Simplify right side
    1,067.76x = 668,913.63
  5. Step 5: Solve for x
    x = 668,913.63/1,067.76
  6. Step 6: Final answer
    x = 626.46

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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.