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Finding the Fourth Proportional to 911.54, 1,258.36 and 597.26

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Solution

The fourth proportional to 911.54, 1,258.36 and 597.26 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.54 : 1,258.36 = 597.26 : x
  2. Step 2: Convert to fraction form
    911.54/1,258.36 = 597.26/x
  3. Step 3: Cross multiply
    911.54x = 1,258.36 × 597.26
  4. Step 4: Simplify right side
    911.54x = 751,568.09
  5. Step 5: Solve for x
    x = 751,568.09/911.54
  6. Step 6: Final answer
    x = 824.50

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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.