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Finding the Fourth Proportional to 778.12, 1,074.26 and 483.55

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Solution

The fourth proportional to 778.12, 1,074.26 and 483.55 is: 667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.12 : 1,074.26 = 483.55 : x
  2. Step 2: Convert to fraction form
    778.12/1,074.26 = 483.55/x
  3. Step 3: Cross multiply
    778.12x = 1,074.26 × 483.55
  4. Step 4: Simplify right side
    778.12x = 519,458.42
  5. Step 5: Solve for x
    x = 519,458.42/778.12
  6. Step 6: Final answer
    x = 667.58

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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.