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Finding the Fourth Proportional to 1,238.65, 1,709.17 and 906.48

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Solution

The fourth proportional to 1,238.65, 1,709.17 and 906.48 is: 1,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.65 : 1,709.17 = 906.48 : x
  2. Step 2: Convert to fraction form
    1,238.65/1,709.17 = 906.48/x
  3. Step 3: Cross multiply
    1,238.65x = 1,709.17 × 906.48
  4. Step 4: Simplify right side
    1,238.65x = 1,549,326.16
  5. Step 5: Solve for x
    x = 1,549,326.16/1,238.65
  6. Step 6: Final answer
    x = 1,250.82

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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.