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Finding the Fourth Proportional to 405.17, 603.91 and 382.11

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Solution

The fourth proportional to 405.17, 603.91 and 382.11 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 603.91 = 382.11 : x
  2. Step 2: Convert to fraction form
    405.17/603.91 = 382.11/x
  3. Step 3: Cross multiply
    405.17x = 603.91 × 382.11
  4. Step 4: Simplify right side
    405.17x = 230,759.09
  5. Step 5: Solve for x
    x = 230,759.09/405.17
  6. Step 6: Final answer
    x = 569.53

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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.