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Finding the Fourth Proportional to 934.91, 1,290.24 and 515.34

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Solution

The fourth proportional to 934.91, 1,290.24 and 515.34 is: 711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.91 : 1,290.24 = 515.34 : x
  2. Step 2: Convert to fraction form
    934.91/1,290.24 = 515.34/x
  3. Step 3: Cross multiply
    934.91x = 1,290.24 × 515.34
  4. Step 4: Simplify right side
    934.91x = 664,912.28
  5. Step 5: Solve for x
    x = 664,912.28/934.91
  6. Step 6: Final answer
    x = 711.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.