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Finding the Fourth Proportional to 409.06, 614.81 and 378.89

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Solution

The fourth proportional to 409.06, 614.81 and 378.89 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 614.81 = 378.89 : x
  2. Step 2: Convert to fraction form
    409.06/614.81 = 378.89/x
  3. Step 3: Cross multiply
    409.06x = 614.81 × 378.89
  4. Step 4: Simplify right side
    409.06x = 232,945.36
  5. Step 5: Solve for x
    x = 232,945.36/409.06
  6. Step 6: Final answer
    x = 569.47

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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.