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Finding the Fourth Proportional to 1,104.55, 1,654.26 and 670.93

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Solution

The fourth proportional to 1,104.55, 1,654.26 and 670.93 is: 1,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.55 : 1,654.26 = 670.93 : x
  2. Step 2: Convert to fraction form
    1,104.55/1,654.26 = 670.93/x
  3. Step 3: Cross multiply
    1,104.55x = 1,654.26 × 670.93
  4. Step 4: Simplify right side
    1,104.55x = 1,109,892.66
  5. Step 5: Solve for x
    x = 1,109,892.66/1,104.55
  6. Step 6: Final answer
    x = 1,004.84

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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.