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Finding the Fourth Proportional to 828.57, 1,143.45 and 474.53

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Solution

The fourth proportional to 828.57, 1,143.45 and 474.53 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.57 : 1,143.45 = 474.53 : x
  2. Step 2: Convert to fraction form
    828.57/1,143.45 = 474.53/x
  3. Step 3: Cross multiply
    828.57x = 1,143.45 × 474.53
  4. Step 4: Simplify right side
    828.57x = 542,595.61
  5. Step 5: Solve for x
    x = 542,595.61/828.57
  6. Step 6: Final answer
    x = 654.86

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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.