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Finding the Fourth Proportional to 939.25, 1,295.94 and 546.20

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Solution

The fourth proportional to 939.25, 1,295.94 and 546.20 is: 753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.25 : 1,295.94 = 546.20 : x
  2. Step 2: Convert to fraction form
    939.25/1,295.94 = 546.20/x
  3. Step 3: Cross multiply
    939.25x = 1,295.94 × 546.20
  4. Step 4: Simplify right side
    939.25x = 707,842.43
  5. Step 5: Solve for x
    x = 707,842.43/939.25
  6. Step 6: Final answer
    x = 753.63

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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.