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Finding the Fourth Proportional to 418.40, 574.02 and 407.62

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Solution

The fourth proportional to 418.40, 574.02 and 407.62 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 574.02 = 407.62 : x
  2. Step 2: Convert to fraction form
    418.40/574.02 = 407.62/x
  3. Step 3: Cross multiply
    418.40x = 574.02 × 407.62
  4. Step 4: Simplify right side
    418.40x = 233,982.03
  5. Step 5: Solve for x
    x = 233,982.03/418.40
  6. Step 6: Final answer
    x = 559.23

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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.