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Finding the Fourth Proportional to 701.31, 967.76 and 390.75

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Solution

The fourth proportional to 701.31, 967.76 and 390.75 is: 539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.31 : 967.76 = 390.75 : x
  2. Step 2: Convert to fraction form
    701.31/967.76 = 390.75/x
  3. Step 3: Cross multiply
    701.31x = 967.76 × 390.75
  4. Step 4: Simplify right side
    701.31x = 378,150.27
  5. Step 5: Solve for x
    x = 378,150.27/701.31
  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.