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Finding the Fourth Proportional to 1,047.75, 1,446 and 605.61

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Solution

The fourth proportional to 1,047.75, 1,446 and 605.61 is: 835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.75 : 1,446 = 605.61 : x
  2. Step 2: Convert to fraction form
    1,047.75/1,446 = 605.61/x
  3. Step 3: Cross multiply
    1,047.75x = 1,446 × 605.61
  4. Step 4: Simplify right side
    1,047.75x = 875,712.06
  5. Step 5: Solve for x
    x = 875,712.06/1,047.75
  6. Step 6: Final answer
    x = 835.80

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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.