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Finding the Fourth Proportional to 1,238.98, 1,709.87 and 741.64

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Solution

The fourth proportional to 1,238.98, 1,709.87 and 741.64 is: 1,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.98 : 1,709.87 = 741.64 : x
  2. Step 2: Convert to fraction form
    1,238.98/1,709.87 = 741.64/x
  3. Step 3: Cross multiply
    1,238.98x = 1,709.87 × 741.64
  4. Step 4: Simplify right side
    1,238.98x = 1,268,107.99
  5. Step 5: Solve for x
    x = 1,268,107.99/1,238.98
  6. Step 6: Final answer
    x = 1,023.51

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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.