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Finding the Fourth Proportional to 905.74, 1,356.18 and 758.32

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Solution

The fourth proportional to 905.74, 1,356.18 and 758.32 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,356.18 = 758.32 : x
  2. Step 2: Convert to fraction form
    905.74/1,356.18 = 758.32/x
  3. Step 3: Cross multiply
    905.74x = 1,356.18 × 758.32
  4. Step 4: Simplify right side
    905.74x = 1,028,418.42
  5. Step 5: Solve for x
    x = 1,028,418.42/905.74
  6. Step 6: Final answer
    x = 1,135.45

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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.