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Finding the Fourth Proportional to 512.08, 702.07 and 502.85

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Solution

The fourth proportional to 512.08, 702.07 and 502.85 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 702.07 = 502.85 : x
  2. Step 2: Convert to fraction form
    512.08/702.07 = 502.85/x
  3. Step 3: Cross multiply
    512.08x = 702.07 × 502.85
  4. Step 4: Simplify right side
    512.08x = 353,033.39
  5. Step 5: Solve for x
    x = 353,033.39/512.08
  6. Step 6: Final answer
    x = 689.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.