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Finding the Fourth Proportional to 970.20, 1,338.82 and 571.85

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Solution

The fourth proportional to 970.20, 1,338.82 and 571.85 is: 789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,338.82 = 571.85 : x
  2. Step 2: Convert to fraction form
    970.20/1,338.82 = 571.85/x
  3. Step 3: Cross multiply
    970.20x = 1,338.82 × 571.85
  4. Step 4: Simplify right side
    970.20x = 765,604.22
  5. Step 5: Solve for x
    x = 765,604.22/970.20
  6. Step 6: Final answer
    x = 789.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.