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Finding the Fourth Proportional to 1,448.72, 1,999.50 and 859.58

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Solution

The fourth proportional to 1,448.72, 1,999.50 and 859.58 is: 1,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.72 : 1,999.50 = 859.58 : x
  2. Step 2: Convert to fraction form
    1,448.72/1,999.50 = 859.58/x
  3. Step 3: Cross multiply
    1,448.72x = 1,999.50 × 859.58
  4. Step 4: Simplify right side
    1,448.72x = 1,718,720.21
  5. Step 5: Solve for x
    x = 1,718,720.21/1,448.72
  6. Step 6: Final answer
    x = 1,186.38

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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.