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Finding the Fourth Proportional to 506.36, 753.70 and 495.02

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Solution

The fourth proportional to 506.36, 753.70 and 495.02 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 753.70 = 495.02 : x
  2. Step 2: Convert to fraction form
    506.36/753.70 = 495.02/x
  3. Step 3: Cross multiply
    506.36x = 753.70 × 495.02
  4. Step 4: Simplify right side
    506.36x = 373,096.57
  5. Step 5: Solve for x
    x = 373,096.57/506.36
  6. Step 6: Final answer
    x = 736.82

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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.