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Finding the Fourth Proportional to 699.15, 964.60 and 450.02

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Solution

The fourth proportional to 699.15, 964.60 and 450.02 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.15 : 964.60 = 450.02 : x
  2. Step 2: Convert to fraction form
    699.15/964.60 = 450.02/x
  3. Step 3: Cross multiply
    699.15x = 964.60 × 450.02
  4. Step 4: Simplify right side
    699.15x = 434,089.29
  5. Step 5: Solve for x
    x = 434,089.29/699.15
  6. Step 6: Final answer
    x = 620.88

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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.