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Finding the Fourth Proportional to 523.42, 785.37 and 387.61

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Solution

The fourth proportional to 523.42, 785.37 and 387.61 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 785.37 = 387.61 : x
  2. Step 2: Convert to fraction form
    523.42/785.37 = 387.61/x
  3. Step 3: Cross multiply
    523.42x = 785.37 × 387.61
  4. Step 4: Simplify right side
    523.42x = 304,417.27
  5. Step 5: Solve for x
    x = 304,417.27/523.42
  6. Step 6: Final answer
    x = 581.59

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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.