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Finding the Fourth Proportional to 778.69, 1,168.06 and 316.45

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Solution

The fourth proportional to 778.69, 1,168.06 and 316.45 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.69 : 1,168.06 = 316.45 : x
  2. Step 2: Convert to fraction form
    778.69/1,168.06 = 316.45/x
  3. Step 3: Cross multiply
    778.69x = 1,168.06 × 316.45
  4. Step 4: Simplify right side
    778.69x = 369,634.72
  5. Step 5: Solve for x
    x = 369,634.72/778.69
  6. Step 6: Final answer
    x = 474.69

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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.