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Finding the Fourth Proportional to 579.76, 869.74 and 189.78

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Solution

The fourth proportional to 579.76, 869.74 and 189.78 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.76 : 869.74 = 189.78 : x
  2. Step 2: Convert to fraction form
    579.76/869.74 = 189.78/x
  3. Step 3: Cross multiply
    579.76x = 869.74 × 189.78
  4. Step 4: Simplify right side
    579.76x = 165,055.52
  5. Step 5: Solve for x
    x = 165,055.52/579.76
  6. Step 6: Final answer
    x = 284.70

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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.