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Finding the Fourth Proportional to 999, 1,497.28 and 451.04

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Solution

The fourth proportional to 999, 1,497.28 and 451.04 is: 676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    999 : 1,497.28 = 451.04 : x
  2. Step 2: Convert to fraction form
    999/1,497.28 = 451.04/x
  3. Step 3: Cross multiply
    999x = 1,497.28 × 451.04
  4. Step 4: Simplify right side
    999x = 675,333.17
  5. Step 5: Solve for x
    x = 675,333.17/999
  6. Step 6: Final answer
    x = 676.01

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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.