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Finding the Fourth Proportional to 419.64, 575.29 and 412.36

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Solution

The fourth proportional to 419.64, 575.29 and 412.36 is: 565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 575.29 = 412.36 : x
  2. Step 2: Convert to fraction form
    419.64/575.29 = 412.36/x
  3. Step 3: Cross multiply
    419.64x = 575.29 × 412.36
  4. Step 4: Simplify right side
    419.64x = 237,226.58
  5. Step 5: Solve for x
    x = 237,226.58/419.64
  6. Step 6: Final answer
    x = 565.31

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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.