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Finding the Fourth Proportional to 494.44, 681.95 and 416.17

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Solution

The fourth proportional to 494.44, 681.95 and 416.17 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 681.95 = 416.17 : x
  2. Step 2: Convert to fraction form
    494.44/681.95 = 416.17/x
  3. Step 3: Cross multiply
    494.44x = 681.95 × 416.17
  4. Step 4: Simplify right side
    494.44x = 283,809.02
  5. Step 5: Solve for x
    x = 283,809.02/494.44
  6. Step 6: Final answer
    x = 574.00

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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.