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Finding the Fourth Proportional to 881.70, 1,321.05 and 533.97

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Solution

The fourth proportional to 881.70, 1,321.05 and 533.97 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,321.05 = 533.97 : x
  2. Step 2: Convert to fraction form
    881.70/1,321.05 = 533.97/x
  3. Step 3: Cross multiply
    881.70x = 1,321.05 × 533.97
  4. Step 4: Simplify right side
    881.70x = 705,401.07
  5. Step 5: Solve for x
    x = 705,401.07/881.70
  6. Step 6: Final answer
    x = 800.05

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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.