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Finding the Fourth Proportional to 522.87, 784.32 and 138.13

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Solution

The fourth proportional to 522.87, 784.32 and 138.13 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 784.32 = 138.13 : x
  2. Step 2: Convert to fraction form
    522.87/784.32 = 138.13/x
  3. Step 3: Cross multiply
    522.87x = 784.32 × 138.13
  4. Step 4: Simplify right side
    522.87x = 108,338.12
  5. Step 5: Solve for x
    x = 108,338.12/522.87
  6. Step 6: Final answer
    x = 207.20

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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.