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Finding the Fourth Proportional to 486.06, 667.50 and 416.12

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Solution

The fourth proportional to 486.06, 667.50 and 416.12 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 667.50 = 416.12 : x
  2. Step 2: Convert to fraction form
    486.06/667.50 = 416.12/x
  3. Step 3: Cross multiply
    486.06x = 667.50 × 416.12
  4. Step 4: Simplify right side
    486.06x = 277,756.76
  5. Step 5: Solve for x
    x = 277,756.76/486.06
  6. Step 6: Final answer
    x = 571.45

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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.