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Finding the Fourth Proportional to 2,505.03, 3,757.45 and 656.11

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Solution

The fourth proportional to 2,505.03, 3,757.45 and 656.11 is: 984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.03 : 3,757.45 = 656.11 : x
  2. Step 2: Convert to fraction form
    2,505.03/3,757.45 = 656.11/x
  3. Step 3: Cross multiply
    2,505.03x = 3,757.45 × 656.11
  4. Step 4: Simplify right side
    2,505.03x = 2,465,294.24
  5. Step 5: Solve for x
    x = 2,465,294.24/2,505.03
  6. Step 6: Final answer
    x = 984.14

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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.