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Finding the Fourth Proportional to 382.65, 571.58 and 376.17

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Solution

The fourth proportional to 382.65, 571.58 and 376.17 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 571.58 = 376.17 : x
  2. Step 2: Convert to fraction form
    382.65/571.58 = 376.17/x
  3. Step 3: Cross multiply
    382.65x = 571.58 × 376.17
  4. Step 4: Simplify right side
    382.65x = 215,009.37
  5. Step 5: Solve for x
    x = 215,009.37/382.65
  6. Step 6: Final answer
    x = 561.90

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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.