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Finding the Fourth Proportional to 503.13, 759.34 and 490.17

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Solution

The fourth proportional to 503.13, 759.34 and 490.17 is: 739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.13 : 759.34 = 490.17 : x
  2. Step 2: Convert to fraction form
    503.13/759.34 = 490.17/x
  3. Step 3: Cross multiply
    503.13x = 759.34 × 490.17
  4. Step 4: Simplify right side
    503.13x = 372,204.46
  5. Step 5: Solve for x
    x = 372,204.46/503.13
  6. Step 6: Final answer
    x = 739.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.