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Finding the Fourth Proportional to 427.61, 643.90 and 362.84

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Solution

The fourth proportional to 427.61, 643.90 and 362.84 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.61 : 643.90 = 362.84 : x
  2. Step 2: Convert to fraction form
    427.61/643.90 = 362.84/x
  3. Step 3: Cross multiply
    427.61x = 643.90 × 362.84
  4. Step 4: Simplify right side
    427.61x = 233,632.68
  5. Step 5: Solve for x
    x = 233,632.68/427.61
  6. Step 6: Final answer
    x = 546.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.