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Finding the Fourth Proportional to 599.29, 825.21 and 543.69

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Solution

The fourth proportional to 599.29, 825.21 and 543.69 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.29 : 825.21 = 543.69 : x
  2. Step 2: Convert to fraction form
    599.29/825.21 = 543.69/x
  3. Step 3: Cross multiply
    599.29x = 825.21 × 543.69
  4. Step 4: Simplify right side
    599.29x = 448,658.42
  5. Step 5: Solve for x
    x = 448,658.42/599.29
  6. Step 6: Final answer
    x = 748.65

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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.