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Finding the Fourth Proportional to 506.77, 757.19 and 495.83

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Solution

The fourth proportional to 506.77, 757.19 and 495.83 is: 740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.77 : 757.19 = 495.83 : x
  2. Step 2: Convert to fraction form
    506.77/757.19 = 495.83/x
  3. Step 3: Cross multiply
    506.77x = 757.19 × 495.83
  4. Step 4: Simplify right side
    506.77x = 375,441.37
  5. Step 5: Solve for x
    x = 375,441.37/506.77
  6. Step 6: Final answer
    x = 740.85

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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.