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Finding the Fourth Proportional to 823.50, 1,136.43 and 491.94

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Solution

The fourth proportional to 823.50, 1,136.43 and 491.94 is: 678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,136.43 = 491.94 : x
  2. Step 2: Convert to fraction form
    823.50/1,136.43 = 491.94/x
  3. Step 3: Cross multiply
    823.50x = 1,136.43 × 491.94
  4. Step 4: Simplify right side
    823.50x = 559,055.37
  5. Step 5: Solve for x
    x = 559,055.37/823.50
  6. Step 6: Final answer
    x = 678.88

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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.