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Finding the Fourth Proportional to 599.11, 897.45 and 309.94

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Solution

The fourth proportional to 599.11, 897.45 and 309.94 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.11 : 897.45 = 309.94 : x
  2. Step 2: Convert to fraction form
    599.11/897.45 = 309.94/x
  3. Step 3: Cross multiply
    599.11x = 897.45 × 309.94
  4. Step 4: Simplify right side
    599.11x = 278,152.25
  5. Step 5: Solve for x
    x = 278,152.25/599.11
  6. Step 6: Final answer
    x = 464.28

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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.