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Finding the Fourth Proportional to 574.80, 864.09 and 472.83

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Solution

The fourth proportional to 574.80, 864.09 and 472.83 is: 710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 864.09 = 472.83 : x
  2. Step 2: Convert to fraction form
    574.80/864.09 = 472.83/x
  3. Step 3: Cross multiply
    574.80x = 864.09 × 472.83
  4. Step 4: Simplify right side
    574.80x = 408,567.67
  5. Step 5: Solve for x
    x = 408,567.67/574.80
  6. Step 6: Final answer
    x = 710.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.