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Finding the Fourth Proportional to 1,103.37, 1,654.80 and 323.20

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Solution

The fourth proportional to 1,103.37, 1,654.80 and 323.20 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.37 : 1,654.80 = 323.20 : x
  2. Step 2: Convert to fraction form
    1,103.37/1,654.80 = 323.20/x
  3. Step 3: Cross multiply
    1,103.37x = 1,654.80 × 323.20
  4. Step 4: Simplify right side
    1,103.37x = 534,831.36
  5. Step 5: Solve for x
    x = 534,831.36/1,103.37
  6. Step 6: Final answer
    x = 484.73

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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.