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Finding the Fourth Proportional to 469.32, 646.89 and 399.54

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Solution

The fourth proportional to 469.32, 646.89 and 399.54 is: 550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 646.89 = 399.54 : x
  2. Step 2: Convert to fraction form
    469.32/646.89 = 399.54/x
  3. Step 3: Cross multiply
    469.32x = 646.89 × 399.54
  4. Step 4: Simplify right side
    469.32x = 258,458.43
  5. Step 5: Solve for x
    x = 258,458.43/469.32
  6. Step 6: Final answer
    x = 550.71

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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.