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Finding the Fourth Proportional to 934.98, 1,290.21 and 515.33

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Solution

The fourth proportional to 934.98, 1,290.21 and 515.33 is: 711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.98 : 1,290.21 = 515.33 : x
  2. Step 2: Convert to fraction form
    934.98/1,290.21 = 515.33/x
  3. Step 3: Cross multiply
    934.98x = 1,290.21 × 515.33
  4. Step 4: Simplify right side
    934.98x = 664,891.89
  5. Step 5: Solve for x
    x = 664,891.89/934.98
  6. Step 6: Final answer
    x = 711.13

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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.