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Finding the Fourth Proportional to 523.39, 785.15 and 176.71

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Solution

The fourth proportional to 523.39, 785.15 and 176.71 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.39 : 785.15 = 176.71 : x
  2. Step 2: Convert to fraction form
    523.39/785.15 = 176.71/x
  3. Step 3: Cross multiply
    523.39x = 785.15 × 176.71
  4. Step 4: Simplify right side
    523.39x = 138,743.86
  5. Step 5: Solve for x
    x = 138,743.86/523.39
  6. Step 6: Final answer
    x = 265.09

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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.