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Finding the Fourth Proportional to 418.40, 574.56 and 412.48

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Solution

The fourth proportional to 418.40, 574.56 and 412.48 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 574.56 = 412.48 : x
  2. Step 2: Convert to fraction form
    418.40/574.56 = 412.48/x
  3. Step 3: Cross multiply
    418.40x = 574.56 × 412.48
  4. Step 4: Simplify right side
    418.40x = 236,994.51
  5. Step 5: Solve for x
    x = 236,994.51/418.40
  6. Step 6: Final answer
    x = 566.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.