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Finding the Fourth Proportional to 989.97, 1,485.47 and 442.03

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Solution

The fourth proportional to 989.97, 1,485.47 and 442.03 is: 663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.97 : 1,485.47 = 442.03 : x
  2. Step 2: Convert to fraction form
    989.97/1,485.47 = 442.03/x
  3. Step 3: Cross multiply
    989.97x = 1,485.47 × 442.03
  4. Step 4: Simplify right side
    989.97x = 656,622.30
  5. Step 5: Solve for x
    x = 656,622.30/989.97
  6. Step 6: Final answer
    x = 663.27

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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.