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Finding the Fourth Proportional to 699.32, 964.91 and 450.60

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Solution

The fourth proportional to 699.32, 964.91 and 450.60 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 964.91 = 450.60 : x
  2. Step 2: Convert to fraction form
    699.32/964.91 = 450.60/x
  3. Step 3: Cross multiply
    699.32x = 964.91 × 450.60
  4. Step 4: Simplify right side
    699.32x = 434,788.45
  5. Step 5: Solve for x
    x = 434,788.45/699.32
  6. Step 6: Final answer
    x = 621.73

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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.