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Finding the Fourth Proportional to 701.43, 967.88 and 406.66

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Solution

The fourth proportional to 701.43, 967.88 and 406.66 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.43 : 967.88 = 406.66 : x
  2. Step 2: Convert to fraction form
    701.43/967.88 = 406.66/x
  3. Step 3: Cross multiply
    701.43x = 967.88 × 406.66
  4. Step 4: Simplify right side
    701.43x = 393,593.24
  5. Step 5: Solve for x
    x = 393,593.24/701.43
  6. Step 6: Final answer
    x = 561.13

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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.