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Finding the Fourth Proportional to 990.46, 1,486.04 and 442.59

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Solution

The fourth proportional to 990.46, 1,486.04 and 442.59 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.46 : 1,486.04 = 442.59 : x
  2. Step 2: Convert to fraction form
    990.46/1,486.04 = 442.59/x
  3. Step 3: Cross multiply
    990.46x = 1,486.04 × 442.59
  4. Step 4: Simplify right side
    990.46x = 657,706.44
  5. Step 5: Solve for x
    x = 657,706.44/990.46
  6. Step 6: Final answer
    x = 664.04

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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.