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Finding the Fourth Proportional to 454.34, 678.10 and 443.40

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Solution

The fourth proportional to 454.34, 678.10 and 443.40 is: 661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 678.10 = 443.40 : x
  2. Step 2: Convert to fraction form
    454.34/678.10 = 443.40/x
  3. Step 3: Cross multiply
    454.34x = 678.10 × 443.40
  4. Step 4: Simplify right side
    454.34x = 300,669.54
  5. Step 5: Solve for x
    x = 300,669.54/454.34
  6. Step 6: Final answer
    x = 661.77

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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.