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Finding the Fourth Proportional to 778.58, 1,074.72 and 613.53

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Solution

The fourth proportional to 778.58, 1,074.72 and 613.53 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.58 : 1,074.72 = 613.53 : x
  2. Step 2: Convert to fraction form
    778.58/1,074.72 = 613.53/x
  3. Step 3: Cross multiply
    778.58x = 1,074.72 × 613.53
  4. Step 4: Simplify right side
    778.58x = 659,372.96
  5. Step 5: Solve for x
    x = 659,372.96/778.58
  6. Step 6: Final answer
    x = 846.89

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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.