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Finding the Fourth Proportional to 1,364.41, 2,046.62 and 338.41

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Solution

The fourth proportional to 1,364.41, 2,046.62 and 338.41 is: 507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.41 : 2,046.62 = 338.41 : x
  2. Step 2: Convert to fraction form
    1,364.41/2,046.62 = 338.41/x
  3. Step 3: Cross multiply
    1,364.41x = 2,046.62 × 338.41
  4. Step 4: Simplify right side
    1,364.41x = 692,594.98
  5. Step 5: Solve for x
    x = 692,594.98/1,364.41
  6. Step 6: Final answer
    x = 507.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.