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Finding the Fourth Proportional to 599.54, 827.43 and 434.30

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Solution

The fourth proportional to 599.54, 827.43 and 434.30 is: 599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.54 : 827.43 = 434.30 : x
  2. Step 2: Convert to fraction form
    599.54/827.43 = 434.30/x
  3. Step 3: Cross multiply
    599.54x = 827.43 × 434.30
  4. Step 4: Simplify right side
    599.54x = 359,348.71
  5. Step 5: Solve for x
    x = 359,348.71/599.54
  6. Step 6: Final answer
    x = 599.38

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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.