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Finding the Fourth Proportional to 2,505.63, 3,758.33 and 656.70

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Solution

The fourth proportional to 2,505.63, 3,758.33 and 656.70 is: 985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.63 : 3,758.33 = 656.70 : x
  2. Step 2: Convert to fraction form
    2,505.63/3,758.33 = 656.70/x
  3. Step 3: Cross multiply
    2,505.63x = 3,758.33 × 656.70
  4. Step 4: Simplify right side
    2,505.63x = 2,468,073.24
  5. Step 5: Solve for x
    x = 2,468,073.24/2,505.63
  6. Step 6: Final answer
    x = 985.01

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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.