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Finding the Fourth Proportional to 1,202.48, 1,803.41 and 544.10

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Solution

The fourth proportional to 1,202.48, 1,803.41 and 544.10 is: 816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.48 : 1,803.41 = 544.10 : x
  2. Step 2: Convert to fraction form
    1,202.48/1,803.41 = 544.10/x
  3. Step 3: Cross multiply
    1,202.48x = 1,803.41 × 544.10
  4. Step 4: Simplify right side
    1,202.48x = 981,232.66
  5. Step 5: Solve for x
    x = 981,232.66/1,202.48
  6. Step 6: Final answer
    x = 816.01

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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.