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Finding the Fourth Proportional to 506.54, 754.82 and 490.02

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Solution

The fourth proportional to 506.54, 754.82 and 490.02 is: 730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.54 : 754.82 = 490.02 : x
  2. Step 2: Convert to fraction form
    506.54/754.82 = 490.02/x
  3. Step 3: Cross multiply
    506.54x = 754.82 × 490.02
  4. Step 4: Simplify right side
    506.54x = 369,874.45
  5. Step 5: Solve for x
    x = 369,874.45/506.54
  6. Step 6: Final answer
    x = 730.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.