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Finding the Fourth Proportional to 1,067.15, 1,593.10 and 903.08

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Solution

The fourth proportional to 1,067.15, 1,593.10 and 903.08 is: 1,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.15 : 1,593.10 = 903.08 : x
  2. Step 2: Convert to fraction form
    1,067.15/1,593.10 = 903.08/x
  3. Step 3: Cross multiply
    1,067.15x = 1,593.10 × 903.08
  4. Step 4: Simplify right side
    1,067.15x = 1,438,696.75
  5. Step 5: Solve for x
    x = 1,438,696.75/1,067.15
  6. Step 6: Final answer
    x = 1,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.