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Finding the Fourth Proportional to 969.92, 1,452.16 and 529.60

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Solution

The fourth proportional to 969.92, 1,452.16 and 529.60 is: 792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.92 : 1,452.16 = 529.60 : x
  2. Step 2: Convert to fraction form
    969.92/1,452.16 = 529.60/x
  3. Step 3: Cross multiply
    969.92x = 1,452.16 × 529.60
  4. Step 4: Simplify right side
    969.92x = 769,063.94
  5. Step 5: Solve for x
    x = 769,063.94/969.92
  6. Step 6: Final answer
    x = 792.91

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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.