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Finding the Fourth Proportional to 1,067.29, 1,600.93 and 417.57

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Solution

The fourth proportional to 1,067.29, 1,600.93 and 417.57 is: 626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.29 : 1,600.93 = 417.57 : x
  2. Step 2: Convert to fraction form
    1,067.29/1,600.93 = 417.57/x
  3. Step 3: Cross multiply
    1,067.29x = 1,600.93 × 417.57
  4. Step 4: Simplify right side
    1,067.29x = 668,490.25
  5. Step 5: Solve for x
    x = 668,490.25/1,067.29
  6. Step 6: Final answer
    x = 626.35

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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.