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Finding the Fourth Proportional to 1,448.84, 1,998.90 and 859.28

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Solution

The fourth proportional to 1,448.84, 1,998.90 and 859.28 is: 1,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.84 : 1,998.90 = 859.28 : x
  2. Step 2: Convert to fraction form
    1,448.84/1,998.90 = 859.28/x
  3. Step 3: Cross multiply
    1,448.84x = 1,998.90 × 859.28
  4. Step 4: Simplify right side
    1,448.84x = 1,717,614.79
  5. Step 5: Solve for x
    x = 1,717,614.79/1,448.84
  6. Step 6: Final answer
    x = 1,185.51

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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.