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Finding the Fourth Proportional to 471.39, 646.29 and 464.22

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Solution

The fourth proportional to 471.39, 646.29 and 464.22 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.39 : 646.29 = 464.22 : x
  2. Step 2: Convert to fraction form
    471.39/646.29 = 464.22/x
  3. Step 3: Cross multiply
    471.39x = 646.29 × 464.22
  4. Step 4: Simplify right side
    471.39x = 300,020.74
  5. Step 5: Solve for x
    x = 300,020.74/471.39
  6. Step 6: Final answer
    x = 636.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.