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Finding the Fourth Proportional to 778.70, 1,167.86 and 448.94

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Solution

The fourth proportional to 778.70, 1,167.86 and 448.94 is: 673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.70 : 1,167.86 = 448.94 : x
  2. Step 2: Convert to fraction form
    778.70/1,167.86 = 448.94/x
  3. Step 3: Cross multiply
    778.70x = 1,167.86 × 448.94
  4. Step 4: Simplify right side
    778.70x = 524,303.11
  5. Step 5: Solve for x
    x = 524,303.11/778.70
  6. Step 6: Final answer
    x = 673.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.