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Finding the Fourth Proportional to 990.90, 1,484.94 and 728.86

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Solution

The fourth proportional to 990.90, 1,484.94 and 728.86 is: 1,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.90 : 1,484.94 = 728.86 : x
  2. Step 2: Convert to fraction form
    990.90/1,484.94 = 728.86/x
  3. Step 3: Cross multiply
    990.90x = 1,484.94 × 728.86
  4. Step 4: Simplify right side
    990.90x = 1,082,313.37
  5. Step 5: Solve for x
    x = 1,082,313.37/990.90
  6. Step 6: Final answer
    x = 1,092.25

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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.