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Finding the Fourth Proportional to 778.36, 1,073.90 and 483.73

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Solution

The fourth proportional to 778.36, 1,073.90 and 483.73 is: 667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,073.90 = 483.73 : x
  2. Step 2: Convert to fraction form
    778.36/1,073.90 = 483.73/x
  3. Step 3: Cross multiply
    778.36x = 1,073.90 × 483.73
  4. Step 4: Simplify right side
    778.36x = 519,475.23
  5. Step 5: Solve for x
    x = 519,475.23/778.36
  6. Step 6: Final answer
    x = 667.40

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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.