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Finding the Fourth Proportional to 605.75, 903.94 and 540.23

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Solution

The fourth proportional to 605.75, 903.94 and 540.23 is: 806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.75 : 903.94 = 540.23 : x
  2. Step 2: Convert to fraction form
    605.75/903.94 = 540.23/x
  3. Step 3: Cross multiply
    605.75x = 903.94 × 540.23
  4. Step 4: Simplify right side
    605.75x = 488,332.67
  5. Step 5: Solve for x
    x = 488,332.67/605.75
  6. Step 6: Final answer
    x = 806.16

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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.