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Finding the Fourth Proportional to 879.95, 1,319.91 and 514.48

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Solution

The fourth proportional to 879.95, 1,319.91 and 514.48 is: 771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.95 : 1,319.91 = 514.48 : x
  2. Step 2: Convert to fraction form
    879.95/1,319.91 = 514.48/x
  3. Step 3: Cross multiply
    879.95x = 1,319.91 × 514.48
  4. Step 4: Simplify right side
    879.95x = 679,067.30
  5. Step 5: Solve for x
    x = 679,067.30/879.95
  6. Step 6: Final answer
    x = 771.71

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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.