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Finding the Fourth Proportional to 905.47, 1,249.44 and 507.15

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Solution

The fourth proportional to 905.47, 1,249.44 and 507.15 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,249.44 = 507.15 : x
  2. Step 2: Convert to fraction form
    905.47/1,249.44 = 507.15/x
  3. Step 3: Cross multiply
    905.47x = 1,249.44 × 507.15
  4. Step 4: Simplify right side
    905.47x = 633,651.59
  5. Step 5: Solve for x
    x = 633,651.59/905.47
  6. Step 6: Final answer
    x = 699.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.