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Finding the Fourth Proportional to 469.45, 647.23 and 321.82

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Solution

The fourth proportional to 469.45, 647.23 and 321.82 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.45 : 647.23 = 321.82 : x
  2. Step 2: Convert to fraction form
    469.45/647.23 = 321.82/x
  3. Step 3: Cross multiply
    469.45x = 647.23 × 321.82
  4. Step 4: Simplify right side
    469.45x = 208,286.71
  5. Step 5: Solve for x
    x = 208,286.71/469.45
  6. Step 6: Final answer
    x = 443.69

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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.