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Finding the Fourth Proportional to 817.44, 1,226.16 and 494.88

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Solution

The fourth proportional to 817.44, 1,226.16 and 494.88 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.44 : 1,226.16 = 494.88 : x
  2. Step 2: Convert to fraction form
    817.44/1,226.16 = 494.88/x
  3. Step 3: Cross multiply
    817.44x = 1,226.16 × 494.88
  4. Step 4: Simplify right side
    817.44x = 606,802.06
  5. Step 5: Solve for x
    x = 606,802.06/817.44
  6. Step 6: Final answer
    x = 742.32

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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.