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Finding the Fourth Proportional to 574.23, 857.74 and 564.51

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Solution

The fourth proportional to 574.23, 857.74 and 564.51 is: 843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.23 : 857.74 = 564.51 : x
  2. Step 2: Convert to fraction form
    574.23/857.74 = 564.51/x
  3. Step 3: Cross multiply
    574.23x = 857.74 × 564.51
  4. Step 4: Simplify right side
    574.23x = 484,202.81
  5. Step 5: Solve for x
    x = 484,202.81/574.23
  6. Step 6: Final answer
    x = 843.22

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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.