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Finding the Fourth Proportional to 823.63, 1,136.77 and 543.88

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Solution

The fourth proportional to 823.63, 1,136.77 and 543.88 is: 750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.63 : 1,136.77 = 543.88 : x
  2. Step 2: Convert to fraction form
    823.63/1,136.77 = 543.88/x
  3. Step 3: Cross multiply
    823.63x = 1,136.77 × 543.88
  4. Step 4: Simplify right side
    823.63x = 618,266.47
  5. Step 5: Solve for x
    x = 618,266.47/823.63
  6. Step 6: Final answer
    x = 750.66

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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.