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Finding the Fourth Proportional to 706.80, 975.50 and 412.06

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Solution

The fourth proportional to 706.80, 975.50 and 412.06 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 975.50 = 412.06 : x
  2. Step 2: Convert to fraction form
    706.80/975.50 = 412.06/x
  3. Step 3: Cross multiply
    706.80x = 975.50 × 412.06
  4. Step 4: Simplify right side
    706.80x = 401,964.53
  5. Step 5: Solve for x
    x = 401,964.53/706.80
  6. Step 6: Final answer
    x = 568.71

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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.