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Finding the Fourth Proportional to 701.26, 967.71 and 390.74

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Solution

The fourth proportional to 701.26, 967.71 and 390.74 is: 539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.26 : 967.71 = 390.74 : x
  2. Step 2: Convert to fraction form
    701.26/967.71 = 390.74/x
  3. Step 3: Cross multiply
    701.26x = 967.71 × 390.74
  4. Step 4: Simplify right side
    701.26x = 378,123.01
  5. Step 5: Solve for x
    x = 378,123.01/701.26
  6. Step 6: Final answer
    x = 539.21

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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.