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Finding the Fourth Proportional to 599.24, 827.70 and 543.80

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Solution

The fourth proportional to 599.24, 827.70 and 543.80 is: 751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 827.70 = 543.80 : x
  2. Step 2: Convert to fraction form
    599.24/827.70 = 543.80/x
  3. Step 3: Cross multiply
    599.24x = 827.70 × 543.80
  4. Step 4: Simplify right side
    599.24x = 450,103.26
  5. Step 5: Solve for x
    x = 450,103.26/599.24
  6. Step 6: Final answer
    x = 751.12

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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.