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Finding the Fourth Proportional to 946.26, 1,305 and 614.55

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Solution

The fourth proportional to 946.26, 1,305 and 614.55 is: 847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.26 : 1,305 = 614.55 : x
  2. Step 2: Convert to fraction form
    946.26/1,305 = 614.55/x
  3. Step 3: Cross multiply
    946.26x = 1,305 × 614.55
  4. Step 4: Simplify right side
    946.26x = 801,987.75
  5. Step 5: Solve for x
    x = 801,987.75/946.26
  6. Step 6: Final answer
    x = 847.53

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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.