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Finding the Fourth Proportional to 1,122.08, 1,548.41 and 650.00

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Solution

The fourth proportional to 1,122.08, 1,548.41 and 650.00 is: 896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.08 : 1,548.41 = 650.00 : x
  2. Step 2: Convert to fraction form
    1,122.08/1,548.41 = 650.00/x
  3. Step 3: Cross multiply
    1,122.08x = 1,548.41 × 650.00
  4. Step 4: Simplify right side
    1,122.08x = 1,006,467.12
  5. Step 5: Solve for x
    x = 1,006,467.12/1,122.08
  6. Step 6: Final answer
    x = 896.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.