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Finding the Fourth Proportional to 905.27, 1,359.71 and 540.77

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Solution

The fourth proportional to 905.27, 1,359.71 and 540.77 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,359.71 = 540.77 : x
  2. Step 2: Convert to fraction form
    905.27/1,359.71 = 540.77/x
  3. Step 3: Cross multiply
    905.27x = 1,359.71 × 540.77
  4. Step 4: Simplify right side
    905.27x = 735,280.87
  5. Step 5: Solve for x
    x = 735,280.87/905.27
  6. Step 6: Final answer
    x = 812.23

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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.