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Finding the Fourth Proportional to 881.57, 1,319.73 and 533.86

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Solution

The fourth proportional to 881.57, 1,319.73 and 533.86 is: 799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.57 : 1,319.73 = 533.86 : x
  2. Step 2: Convert to fraction form
    881.57/1,319.73 = 533.86/x
  3. Step 3: Cross multiply
    881.57x = 1,319.73 × 533.86
  4. Step 4: Simplify right side
    881.57x = 704,551.06
  5. Step 5: Solve for x
    x = 704,551.06/881.57
  6. Step 6: Final answer
    x = 799.20

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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.