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Finding the Fourth Proportional to 574.33, 860.54 and 300.01

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Solution

The fourth proportional to 574.33, 860.54 and 300.01 is: 449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.33 : 860.54 = 300.01 : x
  2. Step 2: Convert to fraction form
    574.33/860.54 = 300.01/x
  3. Step 3: Cross multiply
    574.33x = 860.54 × 300.01
  4. Step 4: Simplify right side
    574.33x = 258,166.30
  5. Step 5: Solve for x
    x = 258,166.30/574.33
  6. Step 6: Final answer
    x = 449.51

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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.