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Finding the Fourth Proportional to 1,448.65, 1,999.59 and 889.93

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Solution

The fourth proportional to 1,448.65, 1,999.59 and 889.93 is: 1,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.65 : 1,999.59 = 889.93 : x
  2. Step 2: Convert to fraction form
    1,448.65/1,999.59 = 889.93/x
  3. Step 3: Cross multiply
    1,448.65x = 1,999.59 × 889.93
  4. Step 4: Simplify right side
    1,448.65x = 1,779,494.29
  5. Step 5: Solve for x
    x = 1,779,494.29/1,448.65
  6. Step 6: Final answer
    x = 1,228.38

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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.