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Finding the Fourth Proportional to 990.22, 1,483.89 and 716.89

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Solution

The fourth proportional to 990.22, 1,483.89 and 716.89 is: 1,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.22 : 1,483.89 = 716.89 : x
  2. Step 2: Convert to fraction form
    990.22/1,483.89 = 716.89/x
  3. Step 3: Cross multiply
    990.22x = 1,483.89 × 716.89
  4. Step 4: Simplify right side
    990.22x = 1,063,785.90
  5. Step 5: Solve for x
    x = 1,063,785.90/990.22
  6. Step 6: Final answer
    x = 1,074.29

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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.