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Finding the Fourth Proportional to 912.74, 1,257.62 and 617.49

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Solution

The fourth proportional to 912.74, 1,257.62 and 617.49 is: 850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,257.62 = 617.49 : x
  2. Step 2: Convert to fraction form
    912.74/1,257.62 = 617.49/x
  3. Step 3: Cross multiply
    912.74x = 1,257.62 × 617.49
  4. Step 4: Simplify right side
    912.74x = 776,564.69
  5. Step 5: Solve for x
    x = 776,564.69/912.74
  6. Step 6: Final answer
    x = 850.81

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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.