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Finding the Fourth Proportional to 405.93, 605.03 and 382.86

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Solution

The fourth proportional to 405.93, 605.03 and 382.86 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 605.03 = 382.86 : x
  2. Step 2: Convert to fraction form
    405.93/605.03 = 382.86/x
  3. Step 3: Cross multiply
    405.93x = 605.03 × 382.86
  4. Step 4: Simplify right side
    405.93x = 231,641.79
  5. Step 5: Solve for x
    x = 231,641.79/405.93
  6. Step 6: Final answer
    x = 570.64

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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.