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Finding the Fourth Proportional to 879.20, 1,319.00 and 331.39

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Solution

The fourth proportional to 879.20, 1,319.00 and 331.39 is: 497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.20 : 1,319.00 = 331.39 : x
  2. Step 2: Convert to fraction form
    879.20/1,319.00 = 331.39/x
  3. Step 3: Cross multiply
    879.20x = 1,319.00 × 331.39
  4. Step 4: Simplify right side
    879.20x = 437,102.17
  5. Step 5: Solve for x
    x = 437,102.17/879.20
  6. Step 6: Final answer
    x = 497.16

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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.