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Finding the Fourth Proportional to 580.78, 870.95 and 233.99

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Solution

The fourth proportional to 580.78, 870.95 and 233.99 is: 350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 870.95 = 233.99 : x
  2. Step 2: Convert to fraction form
    580.78/870.95 = 233.99/x
  3. Step 3: Cross multiply
    580.78x = 870.95 × 233.99
  4. Step 4: Simplify right side
    580.78x = 203,794.60
  5. Step 5: Solve for x
    x = 203,794.60/580.78
  6. Step 6: Final answer
    x = 350.90

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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.