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Finding the Fourth Proportional to 503.40, 694.30 and 328.44

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Solution

The fourth proportional to 503.40, 694.30 and 328.44 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 694.30 = 328.44 : x
  2. Step 2: Convert to fraction form
    503.40/694.30 = 328.44/x
  3. Step 3: Cross multiply
    503.40x = 694.30 × 328.44
  4. Step 4: Simplify right side
    503.40x = 228,035.89
  5. Step 5: Solve for x
    x = 228,035.89/503.40
  6. Step 6: Final answer
    x = 452.99

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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.