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Finding the Fourth Proportional to 688.58, 949.88 and 522.52

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Solution

The fourth proportional to 688.58, 949.88 and 522.52 is: 720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.58 : 949.88 = 522.52 : x
  2. Step 2: Convert to fraction form
    688.58/949.88 = 522.52/x
  3. Step 3: Cross multiply
    688.58x = 949.88 × 522.52
  4. Step 4: Simplify right side
    688.58x = 496,331.30
  5. Step 5: Solve for x
    x = 496,331.30/688.58
  6. Step 6: Final answer
    x = 720.80

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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.