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Finding the Fourth Proportional to 969.26, 1,337.64 and 576.20

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Solution

The fourth proportional to 969.26, 1,337.64 and 576.20 is: 795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.26 : 1,337.64 = 576.20 : x
  2. Step 2: Convert to fraction form
    969.26/1,337.64 = 576.20/x
  3. Step 3: Cross multiply
    969.26x = 1,337.64 × 576.20
  4. Step 4: Simplify right side
    969.26x = 770,748.17
  5. Step 5: Solve for x
    x = 770,748.17/969.26
  6. Step 6: Final answer
    x = 795.19

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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.