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Finding the Fourth Proportional to 580.78, 870.91 and 233.83

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Solution

The fourth proportional to 580.78, 870.91 and 233.83 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 870.91 = 233.83 : x
  2. Step 2: Convert to fraction form
    580.78/870.91 = 233.83/x
  3. Step 3: Cross multiply
    580.78x = 870.91 × 233.83
  4. Step 4: Simplify right side
    580.78x = 203,644.89
  5. Step 5: Solve for x
    x = 203,644.89/580.78
  6. Step 6: Final answer
    x = 350.64

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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.