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Finding the Fourth Proportional to 379.84, 568.77 and 325.34

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Solution

The fourth proportional to 379.84, 568.77 and 325.34 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 568.77 = 325.34 : x
  2. Step 2: Convert to fraction form
    379.84/568.77 = 325.34/x
  3. Step 3: Cross multiply
    379.84x = 568.77 × 325.34
  4. Step 4: Simplify right side
    379.84x = 185,047.15
  5. Step 5: Solve for x
    x = 185,047.15/379.84
  6. Step 6: Final answer
    x = 487.17

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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.