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Finding the Fourth Proportional to 409.44, 613.44 and 348

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Solution

The fourth proportional to 409.44, 613.44 and 348 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.44 : 613.44 = 348 : x
  2. Step 2: Convert to fraction form
    409.44/613.44 = 348/x
  3. Step 3: Cross multiply
    409.44x = 613.44 × 348
  4. Step 4: Simplify right side
    409.44x = 213,477.12
  5. Step 5: Solve for x
    x = 213,477.12/409.44
  6. Step 6: Final answer
    x = 521.39

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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.