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Finding the Fourth Proportional to 523.68, 785.19 and 198.69

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Solution

The fourth proportional to 523.68, 785.19 and 198.69 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 785.19 = 198.69 : x
  2. Step 2: Convert to fraction form
    523.68/785.19 = 198.69/x
  3. Step 3: Cross multiply
    523.68x = 785.19 × 198.69
  4. Step 4: Simplify right side
    523.68x = 156,009.40
  5. Step 5: Solve for x
    x = 156,009.40/523.68
  6. Step 6: Final answer
    x = 297.91

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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.