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Finding the Fourth Proportional to 823.66, 1,136.25 and 491.98

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Solution

The fourth proportional to 823.66, 1,136.25 and 491.98 is: 678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.66 : 1,136.25 = 491.98 : x
  2. Step 2: Convert to fraction form
    823.66/1,136.25 = 491.98/x
  3. Step 3: Cross multiply
    823.66x = 1,136.25 × 491.98
  4. Step 4: Simplify right side
    823.66x = 559,012.28
  5. Step 5: Solve for x
    x = 559,012.28/823.66
  6. Step 6: Final answer
    x = 678.69

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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.