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Finding the Fourth Proportional to 580.12, 870.10 and 233.44

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Solution

The fourth proportional to 580.12, 870.10 and 233.44 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 870.10 = 233.44 : x
  2. Step 2: Convert to fraction form
    580.12/870.10 = 233.44/x
  3. Step 3: Cross multiply
    580.12x = 870.10 × 233.44
  4. Step 4: Simplify right side
    580.12x = 203,113.39
  5. Step 5: Solve for x
    x = 203,113.39/580.12
  6. Step 6: Final answer
    x = 350.12

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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.