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Finding the Fourth Proportional to 1,448.12, 1,998.28 and 858.56

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Solution

The fourth proportional to 1,448.12, 1,998.28 and 858.56 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.12 : 1,998.28 = 858.56 : x
  2. Step 2: Convert to fraction form
    1,448.12/1,998.28 = 858.56/x
  3. Step 3: Cross multiply
    1,448.12x = 1,998.28 × 858.56
  4. Step 4: Simplify right side
    1,448.12x = 1,715,643.28
  5. Step 5: Solve for x
    x = 1,715,643.28/1,448.12
  6. Step 6: Final answer
    x = 1,184.74

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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.