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Finding the Fourth Proportional to 574.80, 858.20 and 471.81

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Solution

The fourth proportional to 574.80, 858.20 and 471.81 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 858.20 = 471.81 : x
  2. Step 2: Convert to fraction form
    574.80/858.20 = 471.81/x
  3. Step 3: Cross multiply
    574.80x = 858.20 × 471.81
  4. Step 4: Simplify right side
    574.80x = 404,904.98
  5. Step 5: Solve for x
    x = 404,904.98/574.80
  6. Step 6: Final answer
    x = 704.43

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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.