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Finding the Fourth Proportional to 1,641.10, 2,458.87 and 990.47

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Solution

The fourth proportional to 1,641.10, 2,458.87 and 990.47 is: 1,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.10 : 2,458.87 = 990.47 : x
  2. Step 2: Convert to fraction form
    1,641.10/2,458.87 = 990.47/x
  3. Step 3: Cross multiply
    1,641.10x = 2,458.87 × 990.47
  4. Step 4: Simplify right side
    1,641.10x = 2,435,431.42
  5. Step 5: Solve for x
    x = 2,435,431.42/1,641.10
  6. Step 6: Final answer
    x = 1,484.02

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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.