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Finding the Fourth Proportional to 1,603.57, 2,212.62 and 1,014.29

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Solution

The fourth proportional to 1,603.57, 2,212.62 and 1,014.29 is: 1,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.57 : 2,212.62 = 1,014.29 : x
  2. Step 2: Convert to fraction form
    1,603.57/2,212.62 = 1,014.29/x
  3. Step 3: Cross multiply
    1,603.57x = 2,212.62 × 1,014.29
  4. Step 4: Simplify right side
    1,603.57x = 2,244,238.34
  5. Step 5: Solve for x
    x = 2,244,238.34/1,603.57
  6. Step 6: Final answer
    x = 1,399.53

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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.