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Finding the Fourth Proportional to 541.92, 808.31 and 454.23

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Solution

The fourth proportional to 541.92, 808.31 and 454.23 is: 677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 808.31 = 454.23 : x
  2. Step 2: Convert to fraction form
    541.92/808.31 = 454.23/x
  3. Step 3: Cross multiply
    541.92x = 808.31 × 454.23
  4. Step 4: Simplify right side
    541.92x = 367,161.11
  5. Step 5: Solve for x
    x = 367,161.11/541.92
  6. Step 6: Final answer
    x = 677.52

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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.