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Finding the Fourth Proportional to 828.45, 1,143.09 and 474.39

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Solution

The fourth proportional to 828.45, 1,143.09 and 474.39 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.45 : 1,143.09 = 474.39 : x
  2. Step 2: Convert to fraction form
    828.45/1,143.09 = 474.39/x
  3. Step 3: Cross multiply
    828.45x = 1,143.09 × 474.39
  4. Step 4: Simplify right side
    828.45x = 542,270.47
  5. Step 5: Solve for x
    x = 542,270.47/828.45
  6. Step 6: Final answer
    x = 654.56

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Double scale
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1.5x scale

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.