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Finding the Fourth Proportional to 786.66, 1,085.31 and 450.33

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Solution

The fourth proportional to 786.66, 1,085.31 and 450.33 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.66 : 1,085.31 = 450.33 : x
  2. Step 2: Convert to fraction form
    786.66/1,085.31 = 450.33/x
  3. Step 3: Cross multiply
    786.66x = 1,085.31 × 450.33
  4. Step 4: Simplify right side
    786.66x = 488,747.65
  5. Step 5: Solve for x
    x = 488,747.65/786.66
  6. Step 6: Final answer
    x = 621.29

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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.