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Finding the Fourth Proportional to 1,047.76, 1,446.12 and 605.60

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Solution

The fourth proportional to 1,047.76, 1,446.12 and 605.60 is: 835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.76 : 1,446.12 = 605.60 : x
  2. Step 2: Convert to fraction form
    1,047.76/1,446.12 = 605.60/x
  3. Step 3: Cross multiply
    1,047.76x = 1,446.12 × 605.60
  4. Step 4: Simplify right side
    1,047.76x = 875,770.27
  5. Step 5: Solve for x
    x = 875,770.27/1,047.76
  6. Step 6: Final answer
    x = 835.85

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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.