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Finding the Fourth Proportional to 776.63, 1,170.77 and 725.07

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Solution

The fourth proportional to 776.63, 1,170.77 and 725.07 is: 1,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,170.77 = 725.07 : x
  2. Step 2: Convert to fraction form
    776.63/1,170.77 = 725.07/x
  3. Step 3: Cross multiply
    776.63x = 1,170.77 × 725.07
  4. Step 4: Simplify right side
    776.63x = 848,886.58
  5. Step 5: Solve for x
    x = 848,886.58/776.63
  6. Step 6: Final answer
    x = 1,093.05

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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.