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Finding the Fourth Proportional to 512.13, 706.35 and 393.94

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Solution

The fourth proportional to 512.13, 706.35 and 393.94 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.13 : 706.35 = 393.94 : x
  2. Step 2: Convert to fraction form
    512.13/706.35 = 393.94/x
  3. Step 3: Cross multiply
    512.13x = 706.35 × 393.94
  4. Step 4: Simplify right side
    512.13x = 278,259.52
  5. Step 5: Solve for x
    x = 278,259.52/512.13
  6. Step 6: Final answer
    x = 543.34

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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.