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Finding the Fourth Proportional to 1,349.00, 1,861.63 and 759.55

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Solution

The fourth proportional to 1,349.00, 1,861.63 and 759.55 is: 1,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.00 : 1,861.63 = 759.55 : x
  2. Step 2: Convert to fraction form
    1,349.00/1,861.63 = 759.55/x
  3. Step 3: Cross multiply
    1,349.00x = 1,861.63 × 759.55
  4. Step 4: Simplify right side
    1,349.00x = 1,414,007.51
  5. Step 5: Solve for x
    x = 1,414,007.51/1,349.00
  6. Step 6: Final answer
    x = 1,048.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.