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Finding the Fourth Proportional to 701.21, 967.52 and 402.47

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Solution

The fourth proportional to 701.21, 967.52 and 402.47 is: 555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 967.52 = 402.47 : x
  2. Step 2: Convert to fraction form
    701.21/967.52 = 402.47/x
  3. Step 3: Cross multiply
    701.21x = 967.52 × 402.47
  4. Step 4: Simplify right side
    701.21x = 389,396.44
  5. Step 5: Solve for x
    x = 389,396.44/701.21
  6. Step 6: Final answer
    x = 555.32

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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.