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Finding the Fourth Proportional to 485.91, 668.76 and 414.83

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Solution

The fourth proportional to 485.91, 668.76 and 414.83 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.91 : 668.76 = 414.83 : x
  2. Step 2: Convert to fraction form
    485.91/668.76 = 414.83/x
  3. Step 3: Cross multiply
    485.91x = 668.76 × 414.83
  4. Step 4: Simplify right side
    485.91x = 277,418.37
  5. Step 5: Solve for x
    x = 277,418.37/485.91
  6. Step 6: Final answer
    x = 570.93

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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.