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Finding the Fourth Proportional to 706.31, 974.71 and 395.81

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Solution

The fourth proportional to 706.31, 974.71 and 395.81 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.31 : 974.71 = 395.81 : x
  2. Step 2: Convert to fraction form
    706.31/974.71 = 395.81/x
  3. Step 3: Cross multiply
    706.31x = 974.71 × 395.81
  4. Step 4: Simplify right side
    706.31x = 385,802.90
  5. Step 5: Solve for x
    x = 385,802.90/706.31
  6. Step 6: Final answer
    x = 546.22

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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.