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Finding the Fourth Proportional to 599.12, 894.40 and 477.44

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Solution

The fourth proportional to 599.12, 894.40 and 477.44 is: 712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 894.40 = 477.44 : x
  2. Step 2: Convert to fraction form
    599.12/894.40 = 477.44/x
  3. Step 3: Cross multiply
    599.12x = 894.40 × 477.44
  4. Step 4: Simplify right side
    599.12x = 427,022.34
  5. Step 5: Solve for x
    x = 427,022.34/599.12
  6. Step 6: Final answer
    x = 712.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.