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Finding the Fourth Proportional to 706.44, 974.93 and 411.69

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Solution

The fourth proportional to 706.44, 974.93 and 411.69 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.44 : 974.93 = 411.69 : x
  2. Step 2: Convert to fraction form
    706.44/974.93 = 411.69/x
  3. Step 3: Cross multiply
    706.44x = 974.93 × 411.69
  4. Step 4: Simplify right side
    706.44x = 401,366.87
  5. Step 5: Solve for x
    x = 401,366.87/706.44
  6. Step 6: Final answer
    x = 568.15

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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.