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Finding the Fourth Proportional to 634.56, 877.92 and 605.76

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Solution

The fourth proportional to 634.56, 877.92 and 605.76 is: 838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 877.92 = 605.76 : x
  2. Step 2: Convert to fraction form
    634.56/877.92 = 605.76/x
  3. Step 3: Cross multiply
    634.56x = 877.92 × 605.76
  4. Step 4: Simplify right side
    634.56x = 531,808.82
  5. Step 5: Solve for x
    x = 531,808.82/634.56
  6. Step 6: Final answer
    x = 838.07

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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.