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Finding the Fourth Proportional to 503.49, 694.30 and 420.57

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Solution

The fourth proportional to 503.49, 694.30 and 420.57 is: 579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.49 : 694.30 = 420.57 : x
  2. Step 2: Convert to fraction form
    503.49/694.30 = 420.57/x
  3. Step 3: Cross multiply
    503.49x = 694.30 × 420.57
  4. Step 4: Simplify right side
    503.49x = 292,001.75
  5. Step 5: Solve for x
    x = 292,001.75/503.49
  6. Step 6: Final answer
    x = 579.96

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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.