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Finding the Fourth Proportional to 990.92, 1,485.34 and 746.68

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Solution

The fourth proportional to 990.92, 1,485.34 and 746.68 is: 1,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.92 : 1,485.34 = 746.68 : x
  2. Step 2: Convert to fraction form
    990.92/1,485.34 = 746.68/x
  3. Step 3: Cross multiply
    990.92x = 1,485.34 × 746.68
  4. Step 4: Simplify right side
    990.92x = 1,109,073.67
  5. Step 5: Solve for x
    x = 1,109,073.67/990.92
  6. Step 6: Final answer
    x = 1,119.24

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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.