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Finding the Fourth Proportional to 512.06, 706.77 and 315.74

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Solution

The fourth proportional to 512.06, 706.77 and 315.74 is: 435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 706.77 = 315.74 : x
  2. Step 2: Convert to fraction form
    512.06/706.77 = 315.74/x
  3. Step 3: Cross multiply
    512.06x = 706.77 × 315.74
  4. Step 4: Simplify right side
    512.06x = 223,155.56
  5. Step 5: Solve for x
    x = 223,155.56/512.06
  6. Step 6: Final answer
    x = 435.80

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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.