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Finding the Fourth Proportional to 579.68, 869.59 and 189.57

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Solution

The fourth proportional to 579.68, 869.59 and 189.57 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 869.59 = 189.57 : x
  2. Step 2: Convert to fraction form
    579.68/869.59 = 189.57/x
  3. Step 3: Cross multiply
    579.68x = 869.59 × 189.57
  4. Step 4: Simplify right side
    579.68x = 164,852.21
  5. Step 5: Solve for x
    x = 164,852.21/579.68
  6. Step 6: Final answer
    x = 284.38

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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.