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Finding the Fourth Proportional to 969.90, 1,338.45 and 538.71

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Solution

The fourth proportional to 969.90, 1,338.45 and 538.71 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.90 : 1,338.45 = 538.71 : x
  2. Step 2: Convert to fraction form
    969.90/1,338.45 = 538.71/x
  3. Step 3: Cross multiply
    969.90x = 1,338.45 × 538.71
  4. Step 4: Simplify right side
    969.90x = 721,038.40
  5. Step 5: Solve for x
    x = 721,038.40/969.90
  6. Step 6: Final answer
    x = 743.41

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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.