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Finding the Fourth Proportional to 828.36, 1,142.78 and 533.66

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Solution

The fourth proportional to 828.36, 1,142.78 and 533.66 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.36 : 1,142.78 = 533.66 : x
  2. Step 2: Convert to fraction form
    828.36/1,142.78 = 533.66/x
  3. Step 3: Cross multiply
    828.36x = 1,142.78 × 533.66
  4. Step 4: Simplify right side
    828.36x = 609,847.59
  5. Step 5: Solve for x
    x = 609,847.59/828.36
  6. Step 6: Final answer
    x = 736.21

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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.