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Finding the Fourth Proportional to 999.04, 1,497.54 and 451.61

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Solution

The fourth proportional to 999.04, 1,497.54 and 451.61 is: 676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.04 : 1,497.54 = 451.61 : x
  2. Step 2: Convert to fraction form
    999.04/1,497.54 = 451.61/x
  3. Step 3: Cross multiply
    999.04x = 1,497.54 × 451.61
  4. Step 4: Simplify right side
    999.04x = 676,304.04
  5. Step 5: Solve for x
    x = 676,304.04/999.04
  6. Step 6: Final answer
    x = 676.95

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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.