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Finding the Fourth Proportional to 688.09, 951.33 and 522.04

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Solution

The fourth proportional to 688.09, 951.33 and 522.04 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.09 : 951.33 = 522.04 : x
  2. Step 2: Convert to fraction form
    688.09/951.33 = 522.04/x
  3. Step 3: Cross multiply
    688.09x = 951.33 × 522.04
  4. Step 4: Simplify right side
    688.09x = 496,632.31
  5. Step 5: Solve for x
    x = 496,632.31/688.09
  6. Step 6: Final answer
    x = 721.75

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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.