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Finding the Fourth Proportional to 503.91, 698.36 and 496.22

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Solution

The fourth proportional to 503.91, 698.36 and 496.22 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.91 : 698.36 = 496.22 : x
  2. Step 2: Convert to fraction form
    503.91/698.36 = 496.22/x
  3. Step 3: Cross multiply
    503.91x = 698.36 × 496.22
  4. Step 4: Simplify right side
    503.91x = 346,534.23
  5. Step 5: Solve for x
    x = 346,534.23/503.91
  6. Step 6: Final answer
    x = 687.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.