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Finding the Fourth Proportional to 779.14, 1,161.49 and 720.82

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Solution

The fourth proportional to 779.14, 1,161.49 and 720.82 is: 1,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.14 : 1,161.49 = 720.82 : x
  2. Step 2: Convert to fraction form
    779.14/1,161.49 = 720.82/x
  3. Step 3: Cross multiply
    779.14x = 1,161.49 × 720.82
  4. Step 4: Simplify right side
    779.14x = 837,225.22
  5. Step 5: Solve for x
    x = 837,225.22/779.14
  6. Step 6: Final answer
    x = 1,074.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.