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Finding the Fourth Proportional to 1,103.60, 1,654.99 and 323.40

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Solution

The fourth proportional to 1,103.60, 1,654.99 and 323.40 is: 484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.60 : 1,654.99 = 323.40 : x
  2. Step 2: Convert to fraction form
    1,103.60/1,654.99 = 323.40/x
  3. Step 3: Cross multiply
    1,103.60x = 1,654.99 × 323.40
  4. Step 4: Simplify right side
    1,103.60x = 535,225.42
  5. Step 5: Solve for x
    x = 535,225.42/1,103.60
  6. Step 6: Final answer
    x = 484.98

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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.