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Finding the Fourth Proportional to 427.77, 637.88 and 394.11

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Solution

The fourth proportional to 427.77, 637.88 and 394.11 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 637.88 = 394.11 : x
  2. Step 2: Convert to fraction form
    427.77/637.88 = 394.11/x
  3. Step 3: Cross multiply
    427.77x = 637.88 × 394.11
  4. Step 4: Simplify right side
    427.77x = 251,394.89
  5. Step 5: Solve for x
    x = 251,394.89/427.77
  6. Step 6: Final answer
    x = 587.69

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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.