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Finding the Fourth Proportional to 494.84, 681.62 and 416.07

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Solution

The fourth proportional to 494.84, 681.62 and 416.07 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.84 : 681.62 = 416.07 : x
  2. Step 2: Convert to fraction form
    494.84/681.62 = 416.07/x
  3. Step 3: Cross multiply
    494.84x = 681.62 × 416.07
  4. Step 4: Simplify right side
    494.84x = 283,599.55
  5. Step 5: Solve for x
    x = 283,599.55/494.84
  6. Step 6: Final answer
    x = 573.11

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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.