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Finding the Fourth Proportional to 503.80, 753.78 and 439.54

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Solution

The fourth proportional to 503.80, 753.78 and 439.54 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 753.78 = 439.54 : x
  2. Step 2: Convert to fraction form
    503.80/753.78 = 439.54/x
  3. Step 3: Cross multiply
    503.80x = 753.78 × 439.54
  4. Step 4: Simplify right side
    503.80x = 331,316.46
  5. Step 5: Solve for x
    x = 331,316.46/503.80
  6. Step 6: Final answer
    x = 657.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.