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Finding the Fourth Proportional to 653.31, 902.88 and 522.09

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Solution

The fourth proportional to 653.31, 902.88 and 522.09 is: 721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.31 : 902.88 = 522.09 : x
  2. Step 2: Convert to fraction form
    653.31/902.88 = 522.09/x
  3. Step 3: Cross multiply
    653.31x = 902.88 × 522.09
  4. Step 4: Simplify right side
    653.31x = 471,384.62
  5. Step 5: Solve for x
    x = 471,384.62/653.31
  6. Step 6: Final answer
    x = 721.53

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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.