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Finding the Fourth Proportional to 495.90, 746.67 and 438.48

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Solution

The fourth proportional to 495.90, 746.67 and 438.48 is: 660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 746.67 = 438.48 : x
  2. Step 2: Convert to fraction form
    495.90/746.67 = 438.48/x
  3. Step 3: Cross multiply
    495.90x = 746.67 × 438.48
  4. Step 4: Simplify right side
    495.90x = 327,399.86
  5. Step 5: Solve for x
    x = 327,399.86/495.90
  6. Step 6: Final answer
    x = 660.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.