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Finding the Fourth Proportional to 468.68, 706.97 and 443.77

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Solution

The fourth proportional to 468.68, 706.97 and 443.77 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 706.97 = 443.77 : x
  2. Step 2: Convert to fraction form
    468.68/706.97 = 443.77/x
  3. Step 3: Cross multiply
    468.68x = 706.97 × 443.77
  4. Step 4: Simplify right side
    468.68x = 313,731.42
  5. Step 5: Solve for x
    x = 313,731.42/468.68
  6. Step 6: Final answer
    x = 669.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.