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Finding the Fourth Proportional to 1,048.41, 1,447.06 and 606.57

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Solution

The fourth proportional to 1,048.41, 1,447.06 and 606.57 is: 837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,447.06 = 606.57 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,447.06 = 606.57/x
  3. Step 3: Cross multiply
    1,048.41x = 1,447.06 × 606.57
  4. Step 4: Simplify right side
    1,048.41x = 877,735.95
  5. Step 5: Solve for x
    x = 877,735.95/1,048.41
  6. Step 6: Final answer
    x = 837.21

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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.