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Finding the Fourth Proportional to 599.40, 896.81 and 394.47

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Solution

The fourth proportional to 599.40, 896.81 and 394.47 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 896.81 = 394.47 : x
  2. Step 2: Convert to fraction form
    599.40/896.81 = 394.47/x
  3. Step 3: Cross multiply
    599.40x = 896.81 × 394.47
  4. Step 4: Simplify right side
    599.40x = 353,762.67
  5. Step 5: Solve for x
    x = 353,762.67/599.40
  6. Step 6: Final answer
    x = 590.19

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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.