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Finding the Fourth Proportional to 1,603.15, 2,212.56 and 940.57

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Solution

The fourth proportional to 1,603.15, 2,212.56 and 940.57 is: 1,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.15 : 2,212.56 = 940.57 : x
  2. Step 2: Convert to fraction form
    1,603.15/2,212.56 = 940.57/x
  3. Step 3: Cross multiply
    1,603.15x = 2,212.56 × 940.57
  4. Step 4: Simplify right side
    1,603.15x = 2,081,062.03
  5. Step 5: Solve for x
    x = 2,081,062.03/1,603.15
  6. Step 6: Final answer
    x = 1,298.11

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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.