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Finding the Fourth Proportional to 680.53, 939.65 and 522.91

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Solution

The fourth proportional to 680.53, 939.65 and 522.91 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 939.65 = 522.91 : x
  2. Step 2: Convert to fraction form
    680.53/939.65 = 522.91/x
  3. Step 3: Cross multiply
    680.53x = 939.65 × 522.91
  4. Step 4: Simplify right side
    680.53x = 491,351.34
  5. Step 5: Solve for x
    x = 491,351.34/680.53
  6. Step 6: Final answer
    x = 722.02

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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.