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Finding the Fourth Proportional to 879.30, 1,319.13 and 513.90

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Solution

The fourth proportional to 879.30, 1,319.13 and 513.90 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,319.13 = 513.90 : x
  2. Step 2: Convert to fraction form
    879.30/1,319.13 = 513.90/x
  3. Step 3: Cross multiply
    879.30x = 1,319.13 × 513.90
  4. Step 4: Simplify right side
    879.30x = 677,900.91
  5. Step 5: Solve for x
    x = 677,900.91/879.30
  6. Step 6: Final answer
    x = 770.96

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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.