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Finding the Fourth Proportional to 1,103.62, 1,655 and 323.36

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Solution

The fourth proportional to 1,103.62, 1,655 and 323.36 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.62 : 1,655 = 323.36 : x
  2. Step 2: Convert to fraction form
    1,103.62/1,655 = 323.36/x
  3. Step 3: Cross multiply
    1,103.62x = 1,655 × 323.36
  4. Step 4: Simplify right side
    1,103.62x = 535,152.53
  5. Step 5: Solve for x
    x = 535,152.53/1,103.62
  6. Step 6: Final answer
    x = 484.91

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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.