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Finding the Fourth Proportional to 506.84, 756.84 and 501.48

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Solution

The fourth proportional to 506.84, 756.84 and 501.48 is: 748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 756.84 = 501.48 : x
  2. Step 2: Convert to fraction form
    506.84/756.84 = 501.48/x
  3. Step 3: Cross multiply
    506.84x = 756.84 × 501.48
  4. Step 4: Simplify right side
    506.84x = 379,540.12
  5. Step 5: Solve for x
    x = 379,540.12/506.84
  6. Step 6: Final answer
    x = 748.84

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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.