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Finding the Fourth Proportional to 512.19, 706.79 and 315.77

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Solution

The fourth proportional to 512.19, 706.79 and 315.77 is: 435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.79 = 315.77 : x
  2. Step 2: Convert to fraction form
    512.19/706.79 = 315.77/x
  3. Step 3: Cross multiply
    512.19x = 706.79 × 315.77
  4. Step 4: Simplify right side
    512.19x = 223,180.33
  5. Step 5: Solve for x
    x = 223,180.33/512.19
  6. Step 6: Final answer
    x = 435.74

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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.