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Finding the Fourth Proportional to 828.52, 1,241.16 and 535.60

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Solution

The fourth proportional to 828.52, 1,241.16 and 535.60 is: 802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,241.16 = 535.60 : x
  2. Step 2: Convert to fraction form
    828.52/1,241.16 = 535.60/x
  3. Step 3: Cross multiply
    828.52x = 1,241.16 × 535.60
  4. Step 4: Simplify right side
    828.52x = 664,765.30
  5. Step 5: Solve for x
    x = 664,765.30/828.52
  6. Step 6: Final answer
    x = 802.35

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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.