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Finding the Fourth Proportional to 541.73, 808.92 and 475.35

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Solution

The fourth proportional to 541.73, 808.92 and 475.35 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.73 : 808.92 = 475.35 : x
  2. Step 2: Convert to fraction form
    541.73/808.92 = 475.35/x
  3. Step 3: Cross multiply
    541.73x = 808.92 × 475.35
  4. Step 4: Simplify right side
    541.73x = 384,520.12
  5. Step 5: Solve for x
    x = 384,520.12/541.73
  6. Step 6: Final answer
    x = 709.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.