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Finding the Fourth Proportional to 483.91, 668.14 and 297.65

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Solution

The fourth proportional to 483.91, 668.14 and 297.65 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.91 : 668.14 = 297.65 : x
  2. Step 2: Convert to fraction form
    483.91/668.14 = 297.65/x
  3. Step 3: Cross multiply
    483.91x = 668.14 × 297.65
  4. Step 4: Simplify right side
    483.91x = 198,867.04
  5. Step 5: Solve for x
    x = 198,867.04/483.91
  6. Step 6: Final answer
    x = 410.96

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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.