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Finding the Fourth Proportional to 653.97, 902.22 and 571.08

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Solution

The fourth proportional to 653.97, 902.22 and 571.08 is: 787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 902.22 = 571.08 : x
  2. Step 2: Convert to fraction form
    653.97/902.22 = 571.08/x
  3. Step 3: Cross multiply
    653.97x = 902.22 × 571.08
  4. Step 4: Simplify right side
    653.97x = 515,239.80
  5. Step 5: Solve for x
    x = 515,239.80/653.97
  6. Step 6: Final answer
    x = 787.86

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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.