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Finding the Fourth Proportional to 706.44, 1,059.68 and 267.64

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Solution

The fourth proportional to 706.44, 1,059.68 and 267.64 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.44 : 1,059.68 = 267.64 : x
  2. Step 2: Convert to fraction form
    706.44/1,059.68 = 267.64/x
  3. Step 3: Cross multiply
    706.44x = 1,059.68 × 267.64
  4. Step 4: Simplify right side
    706.44x = 283,612.76
  5. Step 5: Solve for x
    x = 283,612.76/706.44
  6. Step 6: Final answer
    x = 401.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.