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Finding the Fourth Proportional to 522.16, 781.63 and 391.39

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Solution

The fourth proportional to 522.16, 781.63 and 391.39 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 781.63 = 391.39 : x
  2. Step 2: Convert to fraction form
    522.16/781.63 = 391.39/x
  3. Step 3: Cross multiply
    522.16x = 781.63 × 391.39
  4. Step 4: Simplify right side
    522.16x = 305,919.23
  5. Step 5: Solve for x
    x = 305,919.23/522.16
  6. Step 6: Final answer
    x = 585.88

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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.