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Finding the Fourth Proportional to 990.63, 1,486.17 and 682.61

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Solution

The fourth proportional to 990.63, 1,486.17 and 682.61 is: 1,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.63 : 1,486.17 = 682.61 : x
  2. Step 2: Convert to fraction form
    990.63/1,486.17 = 682.61/x
  3. Step 3: Cross multiply
    990.63x = 1,486.17 × 682.61
  4. Step 4: Simplify right side
    990.63x = 1,014,467.07
  5. Step 5: Solve for x
    x = 1,014,467.07/990.63
  6. Step 6: Final answer
    x = 1,024.06

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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.