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Finding the Fourth Proportional to 905.27, 1,357.46 and 342.22

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Solution

The fourth proportional to 905.27, 1,357.46 and 342.22 is: 513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,357.46 = 342.22 : x
  2. Step 2: Convert to fraction form
    905.27/1,357.46 = 342.22/x
  3. Step 3: Cross multiply
    905.27x = 1,357.46 × 342.22
  4. Step 4: Simplify right side
    905.27x = 464,541.46
  5. Step 5: Solve for x
    x = 464,541.46/905.27
  6. Step 6: Final answer
    x = 513.15

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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.