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Finding the Fourth Proportional to 541.62, 808.47 and 459.54

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Solution

The fourth proportional to 541.62, 808.47 and 459.54 is: 685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 808.47 = 459.54 : x
  2. Step 2: Convert to fraction form
    541.62/808.47 = 459.54/x
  3. Step 3: Cross multiply
    541.62x = 808.47 × 459.54
  4. Step 4: Simplify right side
    541.62x = 371,524.30
  5. Step 5: Solve for x
    x = 371,524.30/541.62
  6. Step 6: Final answer
    x = 685.95

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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.