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Finding the Fourth Proportional to 507.43, 699.77 and 349.81

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Solution

The fourth proportional to 507.43, 699.77 and 349.81 is: 482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.43 : 699.77 = 349.81 : x
  2. Step 2: Convert to fraction form
    507.43/699.77 = 349.81/x
  3. Step 3: Cross multiply
    507.43x = 699.77 × 349.81
  4. Step 4: Simplify right side
    507.43x = 244,781.30
  5. Step 5: Solve for x
    x = 244,781.30/507.43
  6. Step 6: Final answer
    x = 482.40

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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.