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Finding the Fourth Proportional to 603.66, 906.33 and 495.12

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Solution

The fourth proportional to 603.66, 906.33 and 495.12 is: 743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.66 : 906.33 = 495.12 : x
  2. Step 2: Convert to fraction form
    603.66/906.33 = 495.12/x
  3. Step 3: Cross multiply
    603.66x = 906.33 × 495.12
  4. Step 4: Simplify right side
    603.66x = 448,742.11
  5. Step 5: Solve for x
    x = 448,742.11/603.66
  6. Step 6: Final answer
    x = 743.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.