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Finding the Fourth Proportional to 828.59, 1,143.48 and 455.60

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Solution

The fourth proportional to 828.59, 1,143.48 and 455.60 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.59 : 1,143.48 = 455.60 : x
  2. Step 2: Convert to fraction form
    828.59/1,143.48 = 455.60/x
  3. Step 3: Cross multiply
    828.59x = 1,143.48 × 455.60
  4. Step 4: Simplify right side
    828.59x = 520,969.49
  5. Step 5: Solve for x
    x = 520,969.49/828.59
  6. Step 6: Final answer
    x = 628.74

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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.