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Finding the Fourth Proportional to 494.25, 681.55 and 424.54

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Solution

The fourth proportional to 494.25, 681.55 and 424.54 is: 585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.25 : 681.55 = 424.54 : x
  2. Step 2: Convert to fraction form
    494.25/681.55 = 424.54/x
  3. Step 3: Cross multiply
    494.25x = 681.55 × 424.54
  4. Step 4: Simplify right side
    494.25x = 289,343.53
  5. Step 5: Solve for x
    x = 289,343.53/494.25
  6. Step 6: Final answer
    x = 585.42

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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.