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Finding the Fourth Proportional to 823.49, 1,136.45 and 543.97

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Solution

The fourth proportional to 823.49, 1,136.45 and 543.97 is: 750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.49 : 1,136.45 = 543.97 : x
  2. Step 2: Convert to fraction form
    823.49/1,136.45 = 543.97/x
  3. Step 3: Cross multiply
    823.49x = 1,136.45 × 543.97
  4. Step 4: Simplify right side
    823.49x = 618,191.99
  5. Step 5: Solve for x
    x = 618,191.99/823.49
  6. Step 6: Final answer
    x = 750.70

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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.