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Finding the Fourth Proportional to 599.62, 896.73 and 490.54

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Solution

The fourth proportional to 599.62, 896.73 and 490.54 is: 733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.62 : 896.73 = 490.54 : x
  2. Step 2: Convert to fraction form
    599.62/896.73 = 490.54/x
  3. Step 3: Cross multiply
    599.62x = 896.73 × 490.54
  4. Step 4: Simplify right side
    599.62x = 439,881.93
  5. Step 5: Solve for x
    x = 439,881.93/599.62
  6. Step 6: Final answer
    x = 733.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.