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Finding the Fourth Proportional to 1,334.23, 1,841.17 and 744.75

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Solution

The fourth proportional to 1,334.23, 1,841.17 and 744.75 is: 1,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.23 : 1,841.17 = 744.75 : x
  2. Step 2: Convert to fraction form
    1,334.23/1,841.17 = 744.75/x
  3. Step 3: Cross multiply
    1,334.23x = 1,841.17 × 744.75
  4. Step 4: Simplify right side
    1,334.23x = 1,371,211.36
  5. Step 5: Solve for x
    x = 1,371,211.36/1,334.23
  6. Step 6: Final answer
    x = 1,027.72

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Half scale
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Double scale
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1.5x scale

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.