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Finding the Fourth Proportional to 485.35, 668.32 and 414.88

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Solution

The fourth proportional to 485.35, 668.32 and 414.88 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.35 : 668.32 = 414.88 : x
  2. Step 2: Convert to fraction form
    485.35/668.32 = 414.88/x
  3. Step 3: Cross multiply
    485.35x = 668.32 × 414.88
  4. Step 4: Simplify right side
    485.35x = 277,272.60
  5. Step 5: Solve for x
    x = 277,272.60/485.35
  6. Step 6: Final answer
    x = 571.28

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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.