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Finding the Fourth Proportional to 522.05, 781.11 and 494.24

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Solution

The fourth proportional to 522.05, 781.11 and 494.24 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 781.11 = 494.24 : x
  2. Step 2: Convert to fraction form
    522.05/781.11 = 494.24/x
  3. Step 3: Cross multiply
    522.05x = 781.11 × 494.24
  4. Step 4: Simplify right side
    522.05x = 386,051.90
  5. Step 5: Solve for x
    x = 386,051.90/522.05
  6. Step 6: Final answer
    x = 739.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.