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Finding the Fourth Proportional to 599.04, 896.86 and 393.16

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Solution

The fourth proportional to 599.04, 896.86 and 393.16 is: 588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 896.86 = 393.16 : x
  2. Step 2: Convert to fraction form
    599.04/896.86 = 393.16/x
  3. Step 3: Cross multiply
    599.04x = 896.86 × 393.16
  4. Step 4: Simplify right side
    599.04x = 352,609.48
  5. Step 5: Solve for x
    x = 352,609.48/599.04
  6. Step 6: Final answer
    x = 588.62

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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.