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Finding the Fourth Proportional to 614.82, 920.61 and 409.08

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Solution

The fourth proportional to 614.82, 920.61 and 409.08 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.82 : 920.61 = 409.08 : x
  2. Step 2: Convert to fraction form
    614.82/920.61 = 409.08/x
  3. Step 3: Cross multiply
    614.82x = 920.61 × 409.08
  4. Step 4: Simplify right side
    614.82x = 376,603.14
  5. Step 5: Solve for x
    x = 376,603.14/614.82
  6. Step 6: Final answer
    x = 612.54

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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.