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Finding the Fourth Proportional to 494.44, 681.68 and 405.58

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Solution

The fourth proportional to 494.44, 681.68 and 405.58 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 681.68 = 405.58 : x
  2. Step 2: Convert to fraction form
    494.44/681.68 = 405.58/x
  3. Step 3: Cross multiply
    494.44x = 681.68 × 405.58
  4. Step 4: Simplify right side
    494.44x = 276,475.77
  5. Step 5: Solve for x
    x = 276,475.77/494.44
  6. Step 6: Final answer
    x = 559.17

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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.