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Finding the Fourth Proportional to 541.80, 808.80 and 477

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Solution

The fourth proportional to 541.80, 808.80 and 477 is: 712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 808.80 = 477 : x
  2. Step 2: Convert to fraction form
    541.80/808.80 = 477/x
  3. Step 3: Cross multiply
    541.80x = 808.80 × 477
  4. Step 4: Simplify right side
    541.80x = 385,797.60
  5. Step 5: Solve for x
    x = 385,797.60/541.80
  6. Step 6: Final answer
    x = 712.07

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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.