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Finding the Fourth Proportional to 1,138.25, 1,707.38 and 454.73

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Solution

The fourth proportional to 1,138.25, 1,707.38 and 454.73 is: 682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.25 : 1,707.38 = 454.73 : x
  2. Step 2: Convert to fraction form
    1,138.25/1,707.38 = 454.73/x
  3. Step 3: Cross multiply
    1,138.25x = 1,707.38 × 454.73
  4. Step 4: Simplify right side
    1,138.25x = 776,396.91
  5. Step 5: Solve for x
    x = 776,396.91/1,138.25
  6. Step 6: Final answer
    x = 682.10

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Double scale
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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.