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Finding the Fourth Proportional to 418.79, 628.83 and 400.31

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Solution

The fourth proportional to 418.79, 628.83 and 400.31 is: 601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.79 : 628.83 = 400.31 : x
  2. Step 2: Convert to fraction form
    418.79/628.83 = 400.31/x
  3. Step 3: Cross multiply
    418.79x = 628.83 × 400.31
  4. Step 4: Simplify right side
    418.79x = 251,726.94
  5. Step 5: Solve for x
    x = 251,726.94/418.79
  6. Step 6: Final answer
    x = 601.08

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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.