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Finding the Fourth Proportional to 418.04, 623.90 and 383.18

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Solution

The fourth proportional to 418.04, 623.90 and 383.18 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.04 : 623.90 = 383.18 : x
  2. Step 2: Convert to fraction form
    418.04/623.90 = 383.18/x
  3. Step 3: Cross multiply
    418.04x = 623.90 × 383.18
  4. Step 4: Simplify right side
    418.04x = 239,067.35
  5. Step 5: Solve for x
    x = 239,067.35/418.04
  6. Step 6: Final answer
    x = 571.88

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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.