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Finding the Fourth Proportional to 786.36, 1,085.37 and 491.43

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Solution

The fourth proportional to 786.36, 1,085.37 and 491.43 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.36 : 1,085.37 = 491.43 : x
  2. Step 2: Convert to fraction form
    786.36/1,085.37 = 491.43/x
  3. Step 3: Cross multiply
    786.36x = 1,085.37 × 491.43
  4. Step 4: Simplify right side
    786.36x = 533,383.38
  5. Step 5: Solve for x
    x = 533,383.38/786.36
  6. Step 6: Final answer
    x = 678.29

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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.