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Finding the Fourth Proportional to 561.64, 843.06 and 446.82

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Solution

The fourth proportional to 561.64, 843.06 and 446.82 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 843.06 = 446.82 : x
  2. Step 2: Convert to fraction form
    561.64/843.06 = 446.82/x
  3. Step 3: Cross multiply
    561.64x = 843.06 × 446.82
  4. Step 4: Simplify right side
    561.64x = 376,696.07
  5. Step 5: Solve for x
    x = 376,696.07/561.64
  6. Step 6: Final answer
    x = 670.71

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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.