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Finding the Fourth Proportional to 1,205.00, 1,816.80 and 964.43

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Solution

The fourth proportional to 1,205.00, 1,816.80 and 964.43 is: 1,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.00 : 1,816.80 = 964.43 : x
  2. Step 2: Convert to fraction form
    1,205.00/1,816.80 = 964.43/x
  3. Step 3: Cross multiply
    1,205.00x = 1,816.80 × 964.43
  4. Step 4: Simplify right side
    1,205.00x = 1,752,167.34
  5. Step 5: Solve for x
    x = 1,752,167.34/1,205.00
  6. Step 6: Final answer
    x = 1,454.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.