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Finding the Fourth Proportional to 846.65, 1,269.29 and 778.31

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Solution

The fourth proportional to 846.65, 1,269.29 and 778.31 is: 1,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.65 : 1,269.29 = 778.31 : x
  2. Step 2: Convert to fraction form
    846.65/1,269.29 = 778.31/x
  3. Step 3: Cross multiply
    846.65x = 1,269.29 × 778.31
  4. Step 4: Simplify right side
    846.65x = 987,896.43
  5. Step 5: Solve for x
    x = 987,896.43/846.65
  6. Step 6: Final answer
    x = 1,166.83

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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.