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Finding the Fourth Proportional to 482.13, 666.20 and 416.52

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Solution

The fourth proportional to 482.13, 666.20 and 416.52 is: 575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 666.20 = 416.52 : x
  2. Step 2: Convert to fraction form
    482.13/666.20 = 416.52/x
  3. Step 3: Cross multiply
    482.13x = 666.20 × 416.52
  4. Step 4: Simplify right side
    482.13x = 277,485.62
  5. Step 5: Solve for x
    x = 277,485.62/482.13
  6. Step 6: Final answer
    x = 575.54

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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.