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Finding the Fourth Proportional to 503.82, 699.93 and 499.32

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Solution

The fourth proportional to 503.82, 699.93 and 499.32 is: 693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 699.93 = 499.32 : x
  2. Step 2: Convert to fraction form
    503.82/699.93 = 499.32/x
  3. Step 3: Cross multiply
    503.82x = 699.93 × 499.32
  4. Step 4: Simplify right side
    503.82x = 349,489.05
  5. Step 5: Solve for x
    x = 349,489.05/503.82
  6. Step 6: Final answer
    x = 693.68

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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.