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Finding the Fourth Proportional to 779.07, 1,074.50 and 685.62

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Solution

The fourth proportional to 779.07, 1,074.50 and 685.62 is: 945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.07 : 1,074.50 = 685.62 : x
  2. Step 2: Convert to fraction form
    779.07/1,074.50 = 685.62/x
  3. Step 3: Cross multiply
    779.07x = 1,074.50 × 685.62
  4. Step 4: Simplify right side
    779.07x = 736,697.83
  5. Step 5: Solve for x
    x = 736,697.83/779.07
  6. Step 6: Final answer
    x = 945.61

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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.