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Finding the Fourth Proportional to 970.29, 1,338.90 and 571.94

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Solution

The fourth proportional to 970.29, 1,338.90 and 571.94 is: 789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.29 : 1,338.90 = 571.94 : x
  2. Step 2: Convert to fraction form
    970.29/1,338.90 = 571.94/x
  3. Step 3: Cross multiply
    970.29x = 1,338.90 × 571.94
  4. Step 4: Simplify right side
    970.29x = 765,763.77
  5. Step 5: Solve for x
    x = 765,763.77/970.29
  6. Step 6: Final answer
    x = 789.21

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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.