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Finding the Fourth Proportional to 405.39, 604.80 and 343.83

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Solution

The fourth proportional to 405.39, 604.80 and 343.83 is: 512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.39 : 604.80 = 343.83 : x
  2. Step 2: Convert to fraction form
    405.39/604.80 = 343.83/x
  3. Step 3: Cross multiply
    405.39x = 604.80 × 343.83
  4. Step 4: Simplify right side
    405.39x = 207,948.38
  5. Step 5: Solve for x
    x = 207,948.38/405.39
  6. Step 6: Final answer
    x = 512.96

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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.