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Finding the Fourth Proportional to 879.70, 1,319.46 and 352.83

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Solution

The fourth proportional to 879.70, 1,319.46 and 352.83 is: 529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.70 : 1,319.46 = 352.83 : x
  2. Step 2: Convert to fraction form
    879.70/1,319.46 = 352.83/x
  3. Step 3: Cross multiply
    879.70x = 1,319.46 × 352.83
  4. Step 4: Simplify right side
    879.70x = 465,543.75
  5. Step 5: Solve for x
    x = 465,543.75/879.70
  6. Step 6: Final answer
    x = 529.21

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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.