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Finding the Fourth Proportional to 507.07, 699.82 and 349.65

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Solution

The fourth proportional to 507.07, 699.82 and 349.65 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.07 : 699.82 = 349.65 : x
  2. Step 2: Convert to fraction form
    507.07/699.82 = 349.65/x
  3. Step 3: Cross multiply
    507.07x = 699.82 × 349.65
  4. Step 4: Simplify right side
    507.07x = 244,690.31
  5. Step 5: Solve for x
    x = 244,690.31/507.07
  6. Step 6: Final answer
    x = 482.56

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Why These Related Problems?

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