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Finding the Fourth Proportional to 468.08, 698.73 and 450.77

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Solution

The fourth proportional to 468.08, 698.73 and 450.77 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 698.73 = 450.77 : x
  2. Step 2: Convert to fraction form
    468.08/698.73 = 450.77/x
  3. Step 3: Cross multiply
    468.08x = 698.73 × 450.77
  4. Step 4: Simplify right side
    468.08x = 314,961.34
  5. Step 5: Solve for x
    x = 314,961.34/468.08
  6. Step 6: Final answer
    x = 672.88

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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.