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Finding the Fourth Proportional to 706.97, 1,060.61 and 341.56

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Solution

The fourth proportional to 706.97, 1,060.61 and 341.56 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.97 : 1,060.61 = 341.56 : x
  2. Step 2: Convert to fraction form
    706.97/1,060.61 = 341.56/x
  3. Step 3: Cross multiply
    706.97x = 1,060.61 × 341.56
  4. Step 4: Simplify right side
    706.97x = 362,261.95
  5. Step 5: Solve for x
    x = 362,261.95/706.97
  6. Step 6: Final answer
    x = 512.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.