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Finding the Fourth Proportional to 786.16, 1,181.69 and 495.54

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Solution

The fourth proportional to 786.16, 1,181.69 and 495.54 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.16 : 1,181.69 = 495.54 : x
  2. Step 2: Convert to fraction form
    786.16/1,181.69 = 495.54/x
  3. Step 3: Cross multiply
    786.16x = 1,181.69 × 495.54
  4. Step 4: Simplify right side
    786.16x = 585,574.66
  5. Step 5: Solve for x
    x = 585,574.66/786.16
  6. Step 6: Final answer
    x = 744.85

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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.