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Finding the Fourth Proportional to 706.65, 975.17 and 396.15

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Solution

The fourth proportional to 706.65, 975.17 and 396.15 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 975.17 = 396.15 : x
  2. Step 2: Convert to fraction form
    706.65/975.17 = 396.15/x
  3. Step 3: Cross multiply
    706.65x = 975.17 × 396.15
  4. Step 4: Simplify right side
    706.65x = 386,313.60
  5. Step 5: Solve for x
    x = 386,313.60/706.65
  6. Step 6: Final answer
    x = 546.68

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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.