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Finding the Fourth Proportional to 1,148.69, 1,723.04 and 945.79

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Solution

The fourth proportional to 1,148.69, 1,723.04 and 945.79 is: 1,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.69 : 1,723.04 = 945.79 : x
  2. Step 2: Convert to fraction form
    1,148.69/1,723.04 = 945.79/x
  3. Step 3: Cross multiply
    1,148.69x = 1,723.04 × 945.79
  4. Step 4: Simplify right side
    1,148.69x = 1,629,634.00
  5. Step 5: Solve for x
    x = 1,629,634.00/1,148.69
  6. Step 6: Final answer
    x = 1,418.69

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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.