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Finding the Fourth Proportional to 506.96, 699.25 and 490.02

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Solution

The fourth proportional to 506.96, 699.25 and 490.02 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 699.25 = 490.02 : x
  2. Step 2: Convert to fraction form
    506.96/699.25 = 490.02/x
  3. Step 3: Cross multiply
    506.96x = 699.25 × 490.02
  4. Step 4: Simplify right side
    506.96x = 342,646.49
  5. Step 5: Solve for x
    x = 342,646.49/506.96
  6. Step 6: Final answer
    x = 675.88

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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.