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Finding the Fourth Proportional to 1,654.55, 2,481.90 and 923.57

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Solution

The fourth proportional to 1,654.55, 2,481.90 and 923.57 is: 1,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.55 : 2,481.90 = 923.57 : x
  2. Step 2: Convert to fraction form
    1,654.55/2,481.90 = 923.57/x
  3. Step 3: Cross multiply
    1,654.55x = 2,481.90 × 923.57
  4. Step 4: Simplify right side
    1,654.55x = 2,292,208.38
  5. Step 5: Solve for x
    x = 2,292,208.38/1,654.55
  6. Step 6: Final answer
    x = 1,385.40

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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.