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Finding the Fourth Proportional to 905.27, 1,356.29 and 514.85

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Solution

The fourth proportional to 905.27, 1,356.29 and 514.85 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.27 : 1,356.29 = 514.85 : x
  2. Step 2: Convert to fraction form
    905.27/1,356.29 = 514.85/x
  3. Step 3: Cross multiply
    905.27x = 1,356.29 × 514.85
  4. Step 4: Simplify right side
    905.27x = 698,283.33
  5. Step 5: Solve for x
    x = 698,283.33/905.27
  6. Step 6: Final answer
    x = 771.35

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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.