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Finding the Fourth Proportional to 382.79, 570.88 and 325.38

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Solution

The fourth proportional to 382.79, 570.88 and 325.38 is: 485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.79 : 570.88 = 325.38 : x
  2. Step 2: Convert to fraction form
    382.79/570.88 = 325.38/x
  3. Step 3: Cross multiply
    382.79x = 570.88 × 325.38
  4. Step 4: Simplify right side
    382.79x = 185,752.12
  5. Step 5: Solve for x
    x = 185,752.12/382.79
  6. Step 6: Final answer
    x = 485.26

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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.