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Finding the Fourth Proportional to 706.98, 974.84 and 664.61

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Solution

The fourth proportional to 706.98, 974.84 and 664.61 is: 916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.98 : 974.84 = 664.61 : x
  2. Step 2: Convert to fraction form
    706.98/974.84 = 664.61/x
  3. Step 3: Cross multiply
    706.98x = 974.84 × 664.61
  4. Step 4: Simplify right side
    706.98x = 647,885.09
  5. Step 5: Solve for x
    x = 647,885.09/706.98
  6. Step 6: Final answer
    x = 916.41

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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.