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Finding the Fourth Proportional to 934.79, 1,290.11 and 515.23

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Solution

The fourth proportional to 934.79, 1,290.11 and 515.23 is: 711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.79 : 1,290.11 = 515.23 : x
  2. Step 2: Convert to fraction form
    934.79/1,290.11 = 515.23/x
  3. Step 3: Cross multiply
    934.79x = 1,290.11 × 515.23
  4. Step 4: Simplify right side
    934.79x = 664,697.57
  5. Step 5: Solve for x
    x = 664,697.57/934.79
  6. Step 6: Final answer
    x = 711.07

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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.