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Finding the Fourth Proportional to 405.88, 604.62 and 393.78

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Solution

The fourth proportional to 405.88, 604.62 and 393.78 is: 586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 604.62 = 393.78 : x
  2. Step 2: Convert to fraction form
    405.88/604.62 = 393.78/x
  3. Step 3: Cross multiply
    405.88x = 604.62 × 393.78
  4. Step 4: Simplify right side
    405.88x = 238,087.26
  5. Step 5: Solve for x
    x = 238,087.26/405.88
  6. Step 6: Final answer
    x = 586.60

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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.