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Finding the Fourth Proportional to 1,202.89, 1,802.07 and 959.14

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Solution

The fourth proportional to 1,202.89, 1,802.07 and 959.14 is: 1,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.89 : 1,802.07 = 959.14 : x
  2. Step 2: Convert to fraction form
    1,202.89/1,802.07 = 959.14/x
  3. Step 3: Cross multiply
    1,202.89x = 1,802.07 × 959.14
  4. Step 4: Simplify right side
    1,202.89x = 1,728,437.42
  5. Step 5: Solve for x
    x = 1,728,437.42/1,202.89
  6. Step 6: Final answer
    x = 1,436.90

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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.