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Finding the Fourth Proportional to 905.53, 1,356.81 and 829.88

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Solution

The fourth proportional to 905.53, 1,356.81 and 829.88 is: 1,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.53 : 1,356.81 = 829.88 : x
  2. Step 2: Convert to fraction form
    905.53/1,356.81 = 829.88/x
  3. Step 3: Cross multiply
    905.53x = 1,356.81 × 829.88
  4. Step 4: Simplify right side
    905.53x = 1,125,989.48
  5. Step 5: Solve for x
    x = 1,125,989.48/905.53
  6. Step 6: Final answer
    x = 1,243.46

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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.