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Finding the Fourth Proportional to 522.54, 724.41 and 494.81

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Solution

The fourth proportional to 522.54, 724.41 and 494.81 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 724.41 = 494.81 : x
  2. Step 2: Convert to fraction form
    522.54/724.41 = 494.81/x
  3. Step 3: Cross multiply
    522.54x = 724.41 × 494.81
  4. Step 4: Simplify right side
    522.54x = 358,441.69
  5. Step 5: Solve for x
    x = 358,441.69/522.54
  6. Step 6: Final answer
    x = 685.96

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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.