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Finding the Fourth Proportional to 823.55, 1,136.07 and 558

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Solution

The fourth proportional to 823.55, 1,136.07 and 558 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,136.07 = 558 : x
  2. Step 2: Convert to fraction form
    823.55/1,136.07 = 558/x
  3. Step 3: Cross multiply
    823.55x = 1,136.07 × 558
  4. Step 4: Simplify right side
    823.55x = 633,927.06
  5. Step 5: Solve for x
    x = 633,927.06/823.55
  6. Step 6: Final answer
    x = 769.75

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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.