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Finding the Fourth Proportional to 512.67, 702.87 and 503.44

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Solution

The fourth proportional to 512.67, 702.87 and 503.44 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.67 : 702.87 = 503.44 : x
  2. Step 2: Convert to fraction form
    512.67/702.87 = 503.44/x
  3. Step 3: Cross multiply
    512.67x = 702.87 × 503.44
  4. Step 4: Simplify right side
    512.67x = 353,852.87
  5. Step 5: Solve for x
    x = 353,852.87/512.67
  6. Step 6: Final answer
    x = 690.22

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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.