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Finding the Fourth Proportional to 905.34, 1,249.37 and 491.34

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Solution

The fourth proportional to 905.34, 1,249.37 and 491.34 is: 678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,249.37 = 491.34 : x
  2. Step 2: Convert to fraction form
    905.34/1,249.37 = 491.34/x
  3. Step 3: Cross multiply
    905.34x = 1,249.37 × 491.34
  4. Step 4: Simplify right side
    905.34x = 613,872.29
  5. Step 5: Solve for x
    x = 613,872.29/905.34
  6. Step 6: Final answer
    x = 678.05

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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.