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Finding the Fourth Proportional to 574.68, 855.63 and 571.80

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Solution

The fourth proportional to 574.68, 855.63 and 571.80 is: 851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 855.63 = 571.80 : x
  2. Step 2: Convert to fraction form
    574.68/855.63 = 571.80/x
  3. Step 3: Cross multiply
    574.68x = 855.63 × 571.80
  4. Step 4: Simplify right side
    574.68x = 489,249.23
  5. Step 5: Solve for x
    x = 489,249.23/574.68
  6. Step 6: Final answer
    x = 851.34

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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.