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Finding the Fourth Proportional to 512.12, 706.71 and 291.11

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Solution

The fourth proportional to 512.12, 706.71 and 291.11 is: 401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 706.71 = 291.11 : x
  2. Step 2: Convert to fraction form
    512.12/706.71 = 291.11/x
  3. Step 3: Cross multiply
    512.12x = 706.71 × 291.11
  4. Step 4: Simplify right side
    512.12x = 205,728.49
  5. Step 5: Solve for x
    x = 205,728.49/512.12
  6. Step 6: Final answer
    x = 401.72

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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.