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Finding the Fourth Proportional to 706.79, 975.56 and 408.08

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Solution

The fourth proportional to 706.79, 975.56 and 408.08 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 975.56 = 408.08 : x
  2. Step 2: Convert to fraction form
    706.79/975.56 = 408.08/x
  3. Step 3: Cross multiply
    706.79x = 975.56 × 408.08
  4. Step 4: Simplify right side
    706.79x = 398,106.92
  5. Step 5: Solve for x
    x = 398,106.92/706.79
  6. Step 6: Final answer
    x = 563.26

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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.