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Finding the Fourth Proportional to 786.06, 1,084.32 and 676.17

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Solution

The fourth proportional to 786.06, 1,084.32 and 676.17 is: 932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,084.32 = 676.17 : x
  2. Step 2: Convert to fraction form
    786.06/1,084.32 = 676.17/x
  3. Step 3: Cross multiply
    786.06x = 1,084.32 × 676.17
  4. Step 4: Simplify right side
    786.06x = 733,184.65
  5. Step 5: Solve for x
    x = 733,184.65/786.06
  6. Step 6: Final answer
    x = 932.73

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1.5x scale

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.