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Finding the Fourth Proportional to 405.86, 604.41 and 392.18

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Solution

The fourth proportional to 405.86, 604.41 and 392.18 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 604.41 = 392.18 : x
  2. Step 2: Convert to fraction form
    405.86/604.41 = 392.18/x
  3. Step 3: Cross multiply
    405.86x = 604.41 × 392.18
  4. Step 4: Simplify right side
    405.86x = 237,039.02
  5. Step 5: Solve for x
    x = 237,039.02/405.86
  6. Step 6: Final answer
    x = 584.04

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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.