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Finding the Fourth Proportional to 1,138.26, 1,707.21 and 316.62

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Solution

The fourth proportional to 1,138.26, 1,707.21 and 316.62 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.26 : 1,707.21 = 316.62 : x
  2. Step 2: Convert to fraction form
    1,138.26/1,707.21 = 316.62/x
  3. Step 3: Cross multiply
    1,138.26x = 1,707.21 × 316.62
  4. Step 4: Simplify right side
    1,138.26x = 540,535.64
  5. Step 5: Solve for x
    x = 540,535.64/1,138.26
  6. Step 6: Final answer
    x = 474.88

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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.