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Finding the Fourth Proportional to 599.51, 828.11 and 412.68

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Solution

The fourth proportional to 599.51, 828.11 and 412.68 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.51 : 828.11 = 412.68 : x
  2. Step 2: Convert to fraction form
    599.51/828.11 = 412.68/x
  3. Step 3: Cross multiply
    599.51x = 828.11 × 412.68
  4. Step 4: Simplify right side
    599.51x = 341,745.47
  5. Step 5: Solve for x
    x = 341,745.47/599.51
  6. Step 6: Final answer
    x = 570.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.