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Finding the Fourth Proportional to 1,202.49, 1,803.69 and 553.20

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Solution

The fourth proportional to 1,202.49, 1,803.69 and 553.20 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.49 : 1,803.69 = 553.20 : x
  2. Step 2: Convert to fraction form
    1,202.49/1,803.69 = 553.20/x
  3. Step 3: Cross multiply
    1,202.49x = 1,803.69 × 553.20
  4. Step 4: Simplify right side
    1,202.49x = 997,801.31
  5. Step 5: Solve for x
    x = 997,801.31/1,202.49
  6. Step 6: Final answer
    x = 829.78

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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.