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Finding the Fourth Proportional to 1,448.14, 2,172.21 and 474.32

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Solution

The fourth proportional to 1,448.14, 2,172.21 and 474.32 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.14 : 2,172.21 = 474.32 : x
  2. Step 2: Convert to fraction form
    1,448.14/2,172.21 = 474.32/x
  3. Step 3: Cross multiply
    1,448.14x = 2,172.21 × 474.32
  4. Step 4: Simplify right side
    1,448.14x = 1,030,322.65
  5. Step 5: Solve for x
    x = 1,030,322.65/1,448.14
  6. Step 6: Final answer
    x = 711.48

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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.