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Finding the Fourth Proportional to 1,048.97, 1,447.54 and 606.83

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Solution

The fourth proportional to 1,048.97, 1,447.54 and 606.83 is: 837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.97 : 1,447.54 = 606.83 : x
  2. Step 2: Convert to fraction form
    1,048.97/1,447.54 = 606.83/x
  3. Step 3: Cross multiply
    1,048.97x = 1,447.54 × 606.83
  4. Step 4: Simplify right side
    1,048.97x = 878,401.94
  5. Step 5: Solve for x
    x = 878,401.94/1,048.97
  6. Step 6: Final answer
    x = 837.39

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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.