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Finding the Fourth Proportional to 469.72, 647.54 and 329.40

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Solution

The fourth proportional to 469.72, 647.54 and 329.40 is: 454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 647.54 = 329.40 : x
  2. Step 2: Convert to fraction form
    469.72/647.54 = 329.40/x
  3. Step 3: Cross multiply
    469.72x = 647.54 × 329.40
  4. Step 4: Simplify right side
    469.72x = 213,302.29
  5. Step 5: Solve for x
    x = 213,302.29/469.72
  6. Step 6: Final answer
    x = 454.10

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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.