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Finding the Fourth Proportional to 512.85, 708.09 and 402.12

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Solution

The fourth proportional to 512.85, 708.09 and 402.12 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 708.09 = 402.12 : x
  2. Step 2: Convert to fraction form
    512.85/708.09 = 402.12/x
  3. Step 3: Cross multiply
    512.85x = 708.09 × 402.12
  4. Step 4: Simplify right side
    512.85x = 284,737.15
  5. Step 5: Solve for x
    x = 284,737.15/512.85
  6. Step 6: Final answer
    x = 555.21

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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.