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Finding the Fourth Proportional to 495.90, 679.36 and 477.42

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Solution

The fourth proportional to 495.90, 679.36 and 477.42 is: 654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 679.36 = 477.42 : x
  2. Step 2: Convert to fraction form
    495.90/679.36 = 477.42/x
  3. Step 3: Cross multiply
    495.90x = 679.36 × 477.42
  4. Step 4: Simplify right side
    495.90x = 324,340.05
  5. Step 5: Solve for x
    x = 324,340.05/495.90
  6. Step 6: Final answer
    x = 654.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.