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Finding the Fourth Proportional to 788.68, 1,085.93 and 676.49

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Solution

The fourth proportional to 788.68, 1,085.93 and 676.49 is: 931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.68 : 1,085.93 = 676.49 : x
  2. Step 2: Convert to fraction form
    788.68/1,085.93 = 676.49/x
  3. Step 3: Cross multiply
    788.68x = 1,085.93 × 676.49
  4. Step 4: Simplify right side
    788.68x = 734,620.12
  5. Step 5: Solve for x
    x = 734,620.12/788.68
  6. Step 6: Final answer
    x = 931.46

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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.