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Finding the Fourth Proportional to 1,654.34, 2,481.60 and 559.42

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Solution

The fourth proportional to 1,654.34, 2,481.60 and 559.42 is: 839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,481.60 = 559.42 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,481.60 = 559.42/x
  3. Step 3: Cross multiply
    1,654.34x = 2,481.60 × 559.42
  4. Step 4: Simplify right side
    1,654.34x = 1,388,256.67
  5. Step 5: Solve for x
    x = 1,388,256.67/1,654.34
  6. Step 6: Final answer
    x = 839.16

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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.