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Finding the Fourth Proportional to 778.52, 1,074.58 and 483.64

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Solution

The fourth proportional to 778.52, 1,074.58 and 483.64 is: 667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.52 : 1,074.58 = 483.64 : x
  2. Step 2: Convert to fraction form
    778.52/1,074.58 = 483.64/x
  3. Step 3: Cross multiply
    778.52x = 1,074.58 × 483.64
  4. Step 4: Simplify right side
    778.52x = 519,709.87
  5. Step 5: Solve for x
    x = 519,709.87/778.52
  6. Step 6: Final answer
    x = 667.56

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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.