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Finding the Fourth Proportional to 512.05, 706.57 and 290.98

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Solution

The fourth proportional to 512.05, 706.57 and 290.98 is: 401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.05 : 706.57 = 290.98 : x
  2. Step 2: Convert to fraction form
    512.05/706.57 = 290.98/x
  3. Step 3: Cross multiply
    512.05x = 706.57 × 290.98
  4. Step 4: Simplify right side
    512.05x = 205,597.74
  5. Step 5: Solve for x
    x = 205,597.74/512.05
  6. Step 6: Final answer
    x = 401.52

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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.