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Finding the Fourth Proportional to 706.96, 975.42 and 412.24

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Solution

The fourth proportional to 706.96, 975.42 and 412.24 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.96 : 975.42 = 412.24 : x
  2. Step 2: Convert to fraction form
    706.96/975.42 = 412.24/x
  3. Step 3: Cross multiply
    706.96x = 975.42 × 412.24
  4. Step 4: Simplify right side
    706.96x = 402,107.14
  5. Step 5: Solve for x
    x = 402,107.14/706.96
  6. Step 6: Final answer
    x = 568.78

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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.