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Finding the Fourth Proportional to 990.27, 1,485.74 and 442.83

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Solution

The fourth proportional to 990.27, 1,485.74 and 442.83 is: 664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.27 : 1,485.74 = 442.83 : x
  2. Step 2: Convert to fraction form
    990.27/1,485.74 = 442.83/x
  3. Step 3: Cross multiply
    990.27x = 1,485.74 × 442.83
  4. Step 4: Simplify right side
    990.27x = 657,928.03
  5. Step 5: Solve for x
    x = 657,928.03/990.27
  6. Step 6: Final answer
    x = 664.39

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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.