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Finding the Fourth Proportional to 679.91, 1,020.26 and 314.72

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Solution

The fourth proportional to 679.91, 1,020.26 and 314.72 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.91 : 1,020.26 = 314.72 : x
  2. Step 2: Convert to fraction form
    679.91/1,020.26 = 314.72/x
  3. Step 3: Cross multiply
    679.91x = 1,020.26 × 314.72
  4. Step 4: Simplify right side
    679.91x = 321,098.72
  5. Step 5: Solve for x
    x = 321,098.72/679.91
  6. Step 6: Final answer
    x = 472.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.