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Finding the Fourth Proportional to 1,600.65, 2,399.44 and 821.02

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Solution

The fourth proportional to 1,600.65, 2,399.44 and 821.02 is: 1,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.65 : 2,399.44 = 821.02 : x
  2. Step 2: Convert to fraction form
    1,600.65/2,399.44 = 821.02/x
  3. Step 3: Cross multiply
    1,600.65x = 2,399.44 × 821.02
  4. Step 4: Simplify right side
    1,600.65x = 1,969,988.23
  5. Step 5: Solve for x
    x = 1,969,988.23/1,600.65
  6. Step 6: Final answer
    x = 1,230.74

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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.