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Finding the Fourth Proportional to 437.36, 604.73 and 409.82

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Solution

The fourth proportional to 437.36, 604.73 and 409.82 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.36 : 604.73 = 409.82 : x
  2. Step 2: Convert to fraction form
    437.36/604.73 = 409.82/x
  3. Step 3: Cross multiply
    437.36x = 604.73 × 409.82
  4. Step 4: Simplify right side
    437.36x = 247,828.45
  5. Step 5: Solve for x
    x = 247,828.45/437.36
  6. Step 6: Final answer
    x = 566.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.