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Finding the Fourth Proportional to 654.85, 903.72 and 406.09

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Solution

The fourth proportional to 654.85, 903.72 and 406.09 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 903.72 = 406.09 : x
  2. Step 2: Convert to fraction form
    654.85/903.72 = 406.09/x
  3. Step 3: Cross multiply
    654.85x = 903.72 × 406.09
  4. Step 4: Simplify right side
    654.85x = 366,991.65
  5. Step 5: Solve for x
    x = 366,991.65/654.85
  6. Step 6: Final answer
    x = 560.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.