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Finding the Fourth Proportional to 956.27, 1,433.19 and 517.50

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Solution

The fourth proportional to 956.27, 1,433.19 and 517.50 is: 775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.27 : 1,433.19 = 517.50 : x
  2. Step 2: Convert to fraction form
    956.27/1,433.19 = 517.50/x
  3. Step 3: Cross multiply
    956.27x = 1,433.19 × 517.50
  4. Step 4: Simplify right side
    956.27x = 741,675.83
  5. Step 5: Solve for x
    x = 741,675.83/956.27
  6. Step 6: Final answer
    x = 775.59

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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.