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Finding the Fourth Proportional to 1,103.58, 1,654.02 and 453.69

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Solution

The fourth proportional to 1,103.58, 1,654.02 and 453.69 is: 679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.58 : 1,654.02 = 453.69 : x
  2. Step 2: Convert to fraction form
    1,103.58/1,654.02 = 453.69/x
  3. Step 3: Cross multiply
    1,103.58x = 1,654.02 × 453.69
  4. Step 4: Simplify right side
    1,103.58x = 750,412.33
  5. Step 5: Solve for x
    x = 750,412.33/1,103.58
  6. Step 6: Final answer
    x = 679.98

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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.