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Finding the Fourth Proportional to 706.44, 974.39 and 440.66

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Solution

The fourth proportional to 706.44, 974.39 and 440.66 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.44 : 974.39 = 440.66 : x
  2. Step 2: Convert to fraction form
    706.44/974.39 = 440.66/x
  3. Step 3: Cross multiply
    706.44x = 974.39 × 440.66
  4. Step 4: Simplify right side
    706.44x = 429,374.70
  5. Step 5: Solve for x
    x = 429,374.70/706.44
  6. Step 6: Final answer
    x = 607.80

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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.