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Finding the Fourth Proportional to 542.21, 809.39 and 476.53

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Solution

The fourth proportional to 542.21, 809.39 and 476.53 is: 711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.21 : 809.39 = 476.53 : x
  2. Step 2: Convert to fraction form
    542.21/809.39 = 476.53/x
  3. Step 3: Cross multiply
    542.21x = 809.39 × 476.53
  4. Step 4: Simplify right side
    542.21x = 385,694.57
  5. Step 5: Solve for x
    x = 385,694.57/542.21
  6. Step 6: Final answer
    x = 711.34

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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.