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Finding the Fourth Proportional to 2,369.25, 3,554.01 and 638.01

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Solution

The fourth proportional to 2,369.25, 3,554.01 and 638.01 is: 957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.25 : 3,554.01 = 638.01 : x
  2. Step 2: Convert to fraction form
    2,369.25/3,554.01 = 638.01/x
  3. Step 3: Cross multiply
    2,369.25x = 3,554.01 × 638.01
  4. Step 4: Simplify right side
    2,369.25x = 2,267,493.92
  5. Step 5: Solve for x
    x = 2,267,493.92/2,369.25
  6. Step 6: Final answer
    x = 957.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.