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Finding the Fourth Proportional to 467.29, 697.67 and 421.21

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Solution

The fourth proportional to 467.29, 697.67 and 421.21 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.29 : 697.67 = 421.21 : x
  2. Step 2: Convert to fraction form
    467.29/697.67 = 421.21/x
  3. Step 3: Cross multiply
    467.29x = 697.67 × 421.21
  4. Step 4: Simplify right side
    467.29x = 293,865.58
  5. Step 5: Solve for x
    x = 293,865.58/467.29
  6. Step 6: Final answer
    x = 628.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.