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Finding the Fourth Proportional to 881.14, 1,320.90 and 470.56

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Solution

The fourth proportional to 881.14, 1,320.90 and 470.56 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.14 : 1,320.90 = 470.56 : x
  2. Step 2: Convert to fraction form
    881.14/1,320.90 = 470.56/x
  3. Step 3: Cross multiply
    881.14x = 1,320.90 × 470.56
  4. Step 4: Simplify right side
    881.14x = 621,562.70
  5. Step 5: Solve for x
    x = 621,562.70/881.14
  6. Step 6: Final answer
    x = 705.41

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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.