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Finding the Fourth Proportional to 574.46, 859.68 and 412.46

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Solution

The fourth proportional to 574.46, 859.68 and 412.46 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 859.68 = 412.46 : x
  2. Step 2: Convert to fraction form
    574.46/859.68 = 412.46/x
  3. Step 3: Cross multiply
    574.46x = 859.68 × 412.46
  4. Step 4: Simplify right side
    574.46x = 354,583.61
  5. Step 5: Solve for x
    x = 354,583.61/574.46
  6. Step 6: Final answer
    x = 617.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.