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Finding the Fourth Proportional to 503.34, 694.39 and 337.60

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Solution

The fourth proportional to 503.34, 694.39 and 337.60 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 694.39 = 337.60 : x
  2. Step 2: Convert to fraction form
    503.34/694.39 = 337.60/x
  3. Step 3: Cross multiply
    503.34x = 694.39 × 337.60
  4. Step 4: Simplify right side
    503.34x = 234,427.66
  5. Step 5: Solve for x
    x = 234,427.66/503.34
  6. Step 6: Final answer
    x = 465.75

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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.