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Finding the Fourth Proportional to 823.83, 1,136.36 and 492

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Solution

The fourth proportional to 823.83, 1,136.36 and 492 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,136.36 = 492 : x
  2. Step 2: Convert to fraction form
    823.83/1,136.36 = 492/x
  3. Step 3: Cross multiply
    823.83x = 1,136.36 × 492
  4. Step 4: Simplify right side
    823.83x = 559,086.66
  5. Step 5: Solve for x
    x = 559,086.66/823.83
  6. Step 6: Final answer
    x = 678.64

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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.