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Finding the Fourth Proportional to 440.78, 605.06 and 401.90

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Solution

The fourth proportional to 440.78, 605.06 and 401.90 is: 551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.78 : 605.06 = 401.90 : x
  2. Step 2: Convert to fraction form
    440.78/605.06 = 401.90/x
  3. Step 3: Cross multiply
    440.78x = 605.06 × 401.90
  4. Step 4: Simplify right side
    440.78x = 243,173.61
  5. Step 5: Solve for x
    x = 243,173.61/440.78
  6. Step 6: Final answer
    x = 551.69

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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.