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Finding the Fourth Proportional to 905.42, 1,249.49 and 507.11

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Solution

The fourth proportional to 905.42, 1,249.49 and 507.11 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.42 : 1,249.49 = 507.11 : x
  2. Step 2: Convert to fraction form
    905.42/1,249.49 = 507.11/x
  3. Step 3: Cross multiply
    905.42x = 1,249.49 × 507.11
  4. Step 4: Simplify right side
    905.42x = 633,628.87
  5. Step 5: Solve for x
    x = 633,628.87/905.42
  6. Step 6: Final answer
    x = 699.82

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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.