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Finding the Fourth Proportional to 512.90, 708.16 and 316.66

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Solution

The fourth proportional to 512.90, 708.16 and 316.66 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 708.16 = 316.66 : x
  2. Step 2: Convert to fraction form
    512.90/708.16 = 316.66/x
  3. Step 3: Cross multiply
    512.90x = 708.16 × 316.66
  4. Step 4: Simplify right side
    512.90x = 224,245.95
  5. Step 5: Solve for x
    x = 224,245.95/512.90
  6. Step 6: Final answer
    x = 437.21

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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.