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Finding the Fourth Proportional to 970.20, 1,338.93 and 571.80

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Solution

The fourth proportional to 970.20, 1,338.93 and 571.80 is: 789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,338.93 = 571.80 : x
  2. Step 2: Convert to fraction form
    970.20/1,338.93 = 571.80/x
  3. Step 3: Cross multiply
    970.20x = 1,338.93 × 571.80
  4. Step 4: Simplify right side
    970.20x = 765,600.17
  5. Step 5: Solve for x
    x = 765,600.17/970.20
  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.