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Finding the Fourth Proportional to 522.71, 784.14 and 157.61

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Solution

The fourth proportional to 522.71, 784.14 and 157.61 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.71 : 784.14 = 157.61 : x
  2. Step 2: Convert to fraction form
    522.71/784.14 = 157.61/x
  3. Step 3: Cross multiply
    522.71x = 784.14 × 157.61
  4. Step 4: Simplify right side
    522.71x = 123,588.31
  5. Step 5: Solve for x
    x = 123,588.31/522.71
  6. Step 6: Final answer
    x = 236.44

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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.