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Finding the Fourth Proportional to 654.57, 903.42 and 405.95

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Solution

The fourth proportional to 654.57, 903.42 and 405.95 is: 560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 903.42 = 405.95 : x
  2. Step 2: Convert to fraction form
    654.57/903.42 = 405.95/x
  3. Step 3: Cross multiply
    654.57x = 903.42 × 405.95
  4. Step 4: Simplify right side
    654.57x = 366,738.83
  5. Step 5: Solve for x
    x = 366,738.83/654.57
  6. Step 6: Final answer
    x = 560.27

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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.