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Finding the Fourth Proportional to 2,458.64, 3,685.98 and 998.84

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Solution

The fourth proportional to 2,458.64, 3,685.98 and 998.84 is: 1,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.64 : 3,685.98 = 998.84 : x
  2. Step 2: Convert to fraction form
    2,458.64/3,685.98 = 998.84/x
  3. Step 3: Cross multiply
    2,458.64x = 3,685.98 × 998.84
  4. Step 4: Simplify right side
    2,458.64x = 3,681,704.26
  5. Step 5: Solve for x
    x = 3,681,704.26/2,458.64
  6. Step 6: Final answer
    x = 1,497.46

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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.