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Finding the Fourth Proportional to 1,324.08, 1,985.16 and 998.64

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Solution

The fourth proportional to 1,324.08, 1,985.16 and 998.64 is: 1,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.08 : 1,985.16 = 998.64 : x
  2. Step 2: Convert to fraction form
    1,324.08/1,985.16 = 998.64/x
  3. Step 3: Cross multiply
    1,324.08x = 1,985.16 × 998.64
  4. Step 4: Simplify right side
    1,324.08x = 1,982,460.18
  5. Step 5: Solve for x
    x = 1,982,460.18/1,324.08
  6. Step 6: Final answer
    x = 1,497.24

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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.