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Finding the Fourth Proportional to 469.49, 647.20 and 329.16

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Solution

The fourth proportional to 469.49, 647.20 and 329.16 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 647.20 = 329.16 : x
  2. Step 2: Convert to fraction form
    469.49/647.20 = 329.16/x
  3. Step 3: Cross multiply
    469.49x = 647.20 × 329.16
  4. Step 4: Simplify right side
    469.49x = 213,032.35
  5. Step 5: Solve for x
    x = 213,032.35/469.49
  6. Step 6: Final answer
    x = 453.75

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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.