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Finding the Fourth Proportional to 1,438.92, 1,985.94 and 849.36

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Solution

The fourth proportional to 1,438.92, 1,985.94 and 849.36 is: 1,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.92 : 1,985.94 = 849.36 : x
  2. Step 2: Convert to fraction form
    1,438.92/1,985.94 = 849.36/x
  3. Step 3: Cross multiply
    1,438.92x = 1,985.94 × 849.36
  4. Step 4: Simplify right side
    1,438.92x = 1,686,778.00
  5. Step 5: Solve for x
    x = 1,686,778.00/1,438.92
  6. Step 6: Final answer
    x = 1,172.25

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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.