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Finding the Fourth Proportional to 503.70, 696.09 and 364.29

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Solution

The fourth proportional to 503.70, 696.09 and 364.29 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 696.09 = 364.29 : x
  2. Step 2: Convert to fraction form
    503.70/696.09 = 364.29/x
  3. Step 3: Cross multiply
    503.70x = 696.09 × 364.29
  4. Step 4: Simplify right side
    503.70x = 253,578.63
  5. Step 5: Solve for x
    x = 253,578.63/503.70
  6. Step 6: Final answer
    x = 503.43

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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.