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Finding the Fourth Proportional to 544.80, 820.83 and 471.90

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Solution

The fourth proportional to 544.80, 820.83 and 471.90 is: 710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 820.83 = 471.90 : x
  2. Step 2: Convert to fraction form
    544.80/820.83 = 471.90/x
  3. Step 3: Cross multiply
    544.80x = 820.83 × 471.90
  4. Step 4: Simplify right side
    544.80x = 387,349.68
  5. Step 5: Solve for x
    x = 387,349.68/544.80
  6. Step 6: Final answer
    x = 710.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.