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Finding the Fourth Proportional to 828.61, 1,143.51 and 474.59

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Solution

The fourth proportional to 828.61, 1,143.51 and 474.59 is: 654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.61 : 1,143.51 = 474.59 : x
  2. Step 2: Convert to fraction form
    828.61/1,143.51 = 474.59/x
  3. Step 3: Cross multiply
    828.61x = 1,143.51 × 474.59
  4. Step 4: Simplify right side
    828.61x = 542,692.69
  5. Step 5: Solve for x
    x = 542,692.69/828.61
  6. Step 6: Final answer
    x = 654.94

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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.