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Finding the Fourth Proportional to 823.81, 1,136.59 and 587.79

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Solution

The fourth proportional to 823.81, 1,136.59 and 587.79 is: 810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.81 : 1,136.59 = 587.79 : x
  2. Step 2: Convert to fraction form
    823.81/1,136.59 = 587.79/x
  3. Step 3: Cross multiply
    823.81x = 1,136.59 × 587.79
  4. Step 4: Simplify right side
    823.81x = 668,076.24
  5. Step 5: Solve for x
    x = 668,076.24/823.81
  6. Step 6: Final answer
    x = 810.96

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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.