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Finding the Fourth Proportional to 443.49, 662.73 and 433.23

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Solution

The fourth proportional to 443.49, 662.73 and 433.23 is: 647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.49 : 662.73 = 433.23 : x
  2. Step 2: Convert to fraction form
    443.49/662.73 = 433.23/x
  3. Step 3: Cross multiply
    443.49x = 662.73 × 433.23
  4. Step 4: Simplify right side
    443.49x = 287,114.52
  5. Step 5: Solve for x
    x = 287,114.52/443.49
  6. Step 6: Final answer
    x = 647.40

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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.