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Finding the Fourth Proportional to 969.41, 1,338.05 and 576.47

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Solution

The fourth proportional to 969.41, 1,338.05 and 576.47 is: 795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.41 : 1,338.05 = 576.47 : x
  2. Step 2: Convert to fraction form
    969.41/1,338.05 = 576.47/x
  3. Step 3: Cross multiply
    969.41x = 1,338.05 × 576.47
  4. Step 4: Simplify right side
    969.41x = 771,345.68
  5. Step 5: Solve for x
    x = 771,345.68/969.41
  6. Step 6: Final answer
    x = 795.69

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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.