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Finding the Fourth Proportional to 1,455.69, 2,179.89 and 967.26

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Solution

The fourth proportional to 1,455.69, 2,179.89 and 967.26 is: 1,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.69 : 2,179.89 = 967.26 : x
  2. Step 2: Convert to fraction form
    1,455.69/2,179.89 = 967.26/x
  3. Step 3: Cross multiply
    1,455.69x = 2,179.89 × 967.26
  4. Step 4: Simplify right side
    1,455.69x = 2,108,520.40
  5. Step 5: Solve for x
    x = 2,108,520.40/1,455.69
  6. Step 6: Final answer
    x = 1,448.47

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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.