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Finding the Fourth Proportional to 1,103.42, 1,654.66 and 373.06

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Solution

The fourth proportional to 1,103.42, 1,654.66 and 373.06 is: 559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.42 : 1,654.66 = 373.06 : x
  2. Step 2: Convert to fraction form
    1,103.42/1,654.66 = 373.06/x
  3. Step 3: Cross multiply
    1,103.42x = 1,654.66 × 373.06
  4. Step 4: Simplify right side
    1,103.42x = 617,282.39
  5. Step 5: Solve for x
    x = 617,282.39/1,103.42
  6. Step 6: Final answer
    x = 559.43

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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.