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Finding the Fourth Proportional to 706.82, 974.56 and 490.68

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Solution

The fourth proportional to 706.82, 974.56 and 490.68 is: 676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.82 : 974.56 = 490.68 : x
  2. Step 2: Convert to fraction form
    706.82/974.56 = 490.68/x
  3. Step 3: Cross multiply
    706.82x = 974.56 × 490.68
  4. Step 4: Simplify right side
    706.82x = 478,197.10
  5. Step 5: Solve for x
    x = 478,197.10/706.82
  6. Step 6: Final answer
    x = 676.55

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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.