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Finding the Fourth Proportional to 2,306.67, 3,457.36 and 990.01

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Solution

The fourth proportional to 2,306.67, 3,457.36 and 990.01 is: 1,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.67 : 3,457.36 = 990.01 : x
  2. Step 2: Convert to fraction form
    2,306.67/3,457.36 = 990.01/x
  3. Step 3: Cross multiply
    2,306.67x = 3,457.36 × 990.01
  4. Step 4: Simplify right side
    2,306.67x = 3,422,820.97
  5. Step 5: Solve for x
    x = 3,422,820.97/2,306.67
  6. Step 6: Final answer
    x = 1,483.88

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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.