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Finding the Fourth Proportional to 905.65, 1,356.04 and 744.05

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Solution

The fourth proportional to 905.65, 1,356.04 and 744.05 is: 1,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.65 : 1,356.04 = 744.05 : x
  2. Step 2: Convert to fraction form
    905.65/1,356.04 = 744.05/x
  3. Step 3: Cross multiply
    905.65x = 1,356.04 × 744.05
  4. Step 4: Simplify right side
    905.65x = 1,008,965.88
  5. Step 5: Solve for x
    x = 1,008,965.88/905.65
  6. Step 6: Final answer
    x = 1,114.08

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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.