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Finding the Fourth Proportional to 1,238.37, 1,707.75 and 959.20

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Solution

The fourth proportional to 1,238.37, 1,707.75 and 959.20 is: 1,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.37 : 1,707.75 = 959.20 : x
  2. Step 2: Convert to fraction form
    1,238.37/1,707.75 = 959.20/x
  3. Step 3: Cross multiply
    1,238.37x = 1,707.75 × 959.20
  4. Step 4: Simplify right side
    1,238.37x = 1,638,073.80
  5. Step 5: Solve for x
    x = 1,638,073.80/1,238.37
  6. Step 6: Final answer
    x = 1,322.77

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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.