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Finding the Fourth Proportional to 1,507.44, 2,261.16 and 641.10

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Solution

The fourth proportional to 1,507.44, 2,261.16 and 641.10 is: 961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.44 : 2,261.16 = 641.10 : x
  2. Step 2: Convert to fraction form
    1,507.44/2,261.16 = 641.10/x
  3. Step 3: Cross multiply
    1,507.44x = 2,261.16 × 641.10
  4. Step 4: Simplify right side
    1,507.44x = 1,449,629.68
  5. Step 5: Solve for x
    x = 1,449,629.68/1,507.44
  6. Step 6: Final answer
    x = 961.65

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Double scale
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1.5x scale

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.