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Finding the Fourth Proportional to 507.21, 699.82 and 349.98

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Solution

The fourth proportional to 507.21, 699.82 and 349.98 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 699.82 = 349.98 : x
  2. Step 2: Convert to fraction form
    507.21/699.82 = 349.98/x
  3. Step 3: Cross multiply
    507.21x = 699.82 × 349.98
  4. Step 4: Simplify right side
    507.21x = 244,923.00
  5. Step 5: Solve for x
    x = 244,923.00/507.21
  6. Step 6: Final answer
    x = 482.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.