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Finding the Fourth Proportional to 579.80, 870.19 and 233.81

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Solution

The fourth proportional to 579.80, 870.19 and 233.81 is: 350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 870.19 = 233.81 : x
  2. Step 2: Convert to fraction form
    579.80/870.19 = 233.81/x
  3. Step 3: Cross multiply
    579.80x = 870.19 × 233.81
  4. Step 4: Simplify right side
    579.80x = 203,460.71
  5. Step 5: Solve for x
    x = 203,460.71/579.80
  6. Step 6: Final answer
    x = 350.92

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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.