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Finding the Fourth Proportional to 574.23, 860.80 and 285.51

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Solution

The fourth proportional to 574.23, 860.80 and 285.51 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.23 : 860.80 = 285.51 : x
  2. Step 2: Convert to fraction form
    574.23/860.80 = 285.51/x
  3. Step 3: Cross multiply
    574.23x = 860.80 × 285.51
  4. Step 4: Simplify right side
    574.23x = 245,767.01
  5. Step 5: Solve for x
    x = 245,767.01/574.23
  6. Step 6: Final answer
    x = 427.99

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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.