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Finding the Fourth Proportional to 828.64, 1,142.49 and 662.59

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Solution

The fourth proportional to 828.64, 1,142.49 and 662.59 is: 913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,142.49 = 662.59 : x
  2. Step 2: Convert to fraction form
    828.64/1,142.49 = 662.59/x
  3. Step 3: Cross multiply
    828.64x = 1,142.49 × 662.59
  4. Step 4: Simplify right side
    828.64x = 757,002.45
  5. Step 5: Solve for x
    x = 757,002.45/828.64
  6. Step 6: Final answer
    x = 913.55

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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.