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Finding the Fourth Proportional to 706.79, 975.44 and 408.10

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Solution

The fourth proportional to 706.79, 975.44 and 408.10 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 975.44 = 408.10 : x
  2. Step 2: Convert to fraction form
    706.79/975.44 = 408.10/x
  3. Step 3: Cross multiply
    706.79x = 975.44 × 408.10
  4. Step 4: Simplify right side
    706.79x = 398,072.58
  5. Step 5: Solve for x
    x = 398,072.58/706.79
  6. Step 6: Final answer
    x = 563.21

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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.