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Finding the Fourth Proportional to 506.94, 755.54 and 506.13

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Solution

The fourth proportional to 506.94, 755.54 and 506.13 is: 754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 755.54 = 506.13 : x
  2. Step 2: Convert to fraction form
    506.94/755.54 = 506.13/x
  3. Step 3: Cross multiply
    506.94x = 755.54 × 506.13
  4. Step 4: Simplify right side
    506.94x = 382,398.93
  5. Step 5: Solve for x
    x = 382,398.93/506.94
  6. Step 6: Final answer
    x = 754.33

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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.