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Finding the Fourth Proportional to 503.63, 694.21 and 397.11

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Solution

The fourth proportional to 503.63, 694.21 and 397.11 is: 547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 694.21 = 397.11 : x
  2. Step 2: Convert to fraction form
    503.63/694.21 = 397.11/x
  3. Step 3: Cross multiply
    503.63x = 694.21 × 397.11
  4. Step 4: Simplify right side
    503.63x = 275,679.62
  5. Step 5: Solve for x
    x = 275,679.62/503.63
  6. Step 6: Final answer
    x = 547.39

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Double scale
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1.5x scale

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.