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Finding the Fourth Proportional to 503.46, 694.85 and 420.44

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Solution

The fourth proportional to 503.46, 694.85 and 420.44 is: 580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 694.85 = 420.44 : x
  2. Step 2: Convert to fraction form
    503.46/694.85 = 420.44/x
  3. Step 3: Cross multiply
    503.46x = 694.85 × 420.44
  4. Step 4: Simplify right side
    503.46x = 292,137.16
  5. Step 5: Solve for x
    x = 292,137.16/503.46
  6. Step 6: Final answer
    x = 580.26

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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.