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Finding the Fourth Proportional to 503.52, 694.88 and 329.20

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Solution

The fourth proportional to 503.52, 694.88 and 329.20 is: 454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 694.88 = 329.20 : x
  2. Step 2: Convert to fraction form
    503.52/694.88 = 329.20/x
  3. Step 3: Cross multiply
    503.52x = 694.88 × 329.20
  4. Step 4: Simplify right side
    503.52x = 228,754.50
  5. Step 5: Solve for x
    x = 228,754.50/503.52
  6. Step 6: Final answer
    x = 454.31

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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.