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Finding the Fourth Proportional to 785.85, 1,185.86 and 779.77

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Solution

The fourth proportional to 785.85, 1,185.86 and 779.77 is: 1,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.85 : 1,185.86 = 779.77 : x
  2. Step 2: Convert to fraction form
    785.85/1,185.86 = 779.77/x
  3. Step 3: Cross multiply
    785.85x = 1,185.86 × 779.77
  4. Step 4: Simplify right side
    785.85x = 924,698.05
  5. Step 5: Solve for x
    x = 924,698.05/785.85
  6. Step 6: Final answer
    x = 1,176.69

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1.5x scale

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.