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Finding the Fourth Proportional to 2,202.45, 3,302.56 and 740.53

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Solution

The fourth proportional to 2,202.45, 3,302.56 and 740.53 is: 1,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.45 : 3,302.56 = 740.53 : x
  2. Step 2: Convert to fraction form
    2,202.45/3,302.56 = 740.53/x
  3. Step 3: Cross multiply
    2,202.45x = 3,302.56 × 740.53
  4. Step 4: Simplify right side
    2,202.45x = 2,445,644.76
  5. Step 5: Solve for x
    x = 2,445,644.76/2,202.45
  6. Step 6: Final answer
    x = 1,110.42

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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.