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Finding the Fourth Proportional to 409.26, 613.02 and 380.07

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Solution

The fourth proportional to 409.26, 613.02 and 380.07 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 613.02 = 380.07 : x
  2. Step 2: Convert to fraction form
    409.26/613.02 = 380.07/x
  3. Step 3: Cross multiply
    409.26x = 613.02 × 380.07
  4. Step 4: Simplify right side
    409.26x = 232,990.51
  5. Step 5: Solve for x
    x = 232,990.51/409.26
  6. Step 6: Final answer
    x = 569.30

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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.