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Finding the Fourth Proportional to 512.72, 702.97 and 503.47

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Solution

The fourth proportional to 512.72, 702.97 and 503.47 is: 690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 702.97 = 503.47 : x
  2. Step 2: Convert to fraction form
    512.72/702.97 = 503.47/x
  3. Step 3: Cross multiply
    512.72x = 702.97 × 503.47
  4. Step 4: Simplify right side
    512.72x = 353,924.31
  5. Step 5: Solve for x
    x = 353,924.31/512.72
  6. Step 6: Final answer
    x = 690.29

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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.