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Finding the Fourth Proportional to 599.80, 827.04 and 488.93

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Solution

The fourth proportional to 599.80, 827.04 and 488.93 is: 674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 827.04 = 488.93 : x
  2. Step 2: Convert to fraction form
    599.80/827.04 = 488.93/x
  3. Step 3: Cross multiply
    599.80x = 827.04 × 488.93
  4. Step 4: Simplify right side
    599.80x = 404,364.67
  5. Step 5: Solve for x
    x = 404,364.67/599.80
  6. Step 6: Final answer
    x = 674.17

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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.