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Finding the Fourth Proportional to 469.75, 648.43 and 320.63

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Solution

The fourth proportional to 469.75, 648.43 and 320.63 is: 442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 648.43 = 320.63 : x
  2. Step 2: Convert to fraction form
    469.75/648.43 = 320.63/x
  3. Step 3: Cross multiply
    469.75x = 648.43 × 320.63
  4. Step 4: Simplify right side
    469.75x = 207,908.44
  5. Step 5: Solve for x
    x = 207,908.44/469.75
  6. Step 6: Final answer
    x = 442.59

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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.