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Finding the Fourth Proportional to 416.14, 578.12 and 412.34

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Solution

The fourth proportional to 416.14, 578.12 and 412.34 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 578.12 = 412.34 : x
  2. Step 2: Convert to fraction form
    416.14/578.12 = 412.34/x
  3. Step 3: Cross multiply
    416.14x = 578.12 × 412.34
  4. Step 4: Simplify right side
    416.14x = 238,382.00
  5. Step 5: Solve for x
    x = 238,382.00/416.14
  6. Step 6: Final answer
    x = 572.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.