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Finding the Fourth Proportional to 506.16, 699.30 and 388.62

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Solution

The fourth proportional to 506.16, 699.30 and 388.62 is: 536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 699.30 = 388.62 : x
  2. Step 2: Convert to fraction form
    506.16/699.30 = 388.62/x
  3. Step 3: Cross multiply
    506.16x = 699.30 × 388.62
  4. Step 4: Simplify right side
    506.16x = 271,761.97
  5. Step 5: Solve for x
    x = 271,761.97/506.16
  6. Step 6: Final answer
    x = 536.91

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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.