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Finding the Fourth Proportional to 522.80, 721.14 and 375.16

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Solution

The fourth proportional to 522.80, 721.14 and 375.16 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.80 : 721.14 = 375.16 : x
  2. Step 2: Convert to fraction form
    522.80/721.14 = 375.16/x
  3. Step 3: Cross multiply
    522.80x = 721.14 × 375.16
  4. Step 4: Simplify right side
    522.80x = 270,542.88
  5. Step 5: Solve for x
    x = 270,542.88/522.80
  6. Step 6: Final answer
    x = 517.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.