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Finding the Fourth Proportional to 695.89, 1,047.94 and 605.67

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Solution

The fourth proportional to 695.89, 1,047.94 and 605.67 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.89 : 1,047.94 = 605.67 : x
  2. Step 2: Convert to fraction form
    695.89/1,047.94 = 605.67/x
  3. Step 3: Cross multiply
    695.89x = 1,047.94 × 605.67
  4. Step 4: Simplify right side
    695.89x = 634,705.82
  5. Step 5: Solve for x
    x = 634,705.82/695.89
  6. Step 6: Final answer
    x = 912.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.