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Finding the Fourth Proportional to 699.58, 964.38 and 450.85

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Solution

The fourth proportional to 699.58, 964.38 and 450.85 is: 621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.58 : 964.38 = 450.85 : x
  2. Step 2: Convert to fraction form
    699.58/964.38 = 450.85/x
  3. Step 3: Cross multiply
    699.58x = 964.38 × 450.85
  4. Step 4: Simplify right side
    699.58x = 434,790.72
  5. Step 5: Solve for x
    x = 434,790.72/699.58
  6. Step 6: Final answer
    x = 621.50

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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.