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Finding the Fourth Proportional to 522.14, 724.30 and 494.46

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Solution

The fourth proportional to 522.14, 724.30 and 494.46 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 724.30 = 494.46 : x
  2. Step 2: Convert to fraction form
    522.14/724.30 = 494.46/x
  3. Step 3: Cross multiply
    522.14x = 724.30 × 494.46
  4. Step 4: Simplify right side
    522.14x = 358,137.38
  5. Step 5: Solve for x
    x = 358,137.38/522.14
  6. Step 6: Final answer
    x = 685.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.