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Finding the Fourth Proportional to 969.28, 1,454.04 and 352.92

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Solution

The fourth proportional to 969.28, 1,454.04 and 352.92 is: 529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.28 : 1,454.04 = 352.92 : x
  2. Step 2: Convert to fraction form
    969.28/1,454.04 = 352.92/x
  3. Step 3: Cross multiply
    969.28x = 1,454.04 × 352.92
  4. Step 4: Simplify right side
    969.28x = 513,159.80
  5. Step 5: Solve for x
    x = 513,159.80/969.28
  6. Step 6: Final answer
    x = 529.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.