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Finding the Fourth Proportional to 580.88, 871.37 and 148.03

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Solution

The fourth proportional to 580.88, 871.37 and 148.03 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 871.37 = 148.03 : x
  2. Step 2: Convert to fraction form
    580.88/871.37 = 148.03/x
  3. Step 3: Cross multiply
    580.88x = 871.37 × 148.03
  4. Step 4: Simplify right side
    580.88x = 128,989.25
  5. Step 5: Solve for x
    x = 128,989.25/580.88
  6. Step 6: Final answer
    x = 222.06

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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.