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Finding the Fourth Proportional to 1,448.42, 2,172.96 and 524.27

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Solution

The fourth proportional to 1,448.42, 2,172.96 and 524.27 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.42 : 2,172.96 = 524.27 : x
  2. Step 2: Convert to fraction form
    1,448.42/2,172.96 = 524.27/x
  3. Step 3: Cross multiply
    1,448.42x = 2,172.96 × 524.27
  4. Step 4: Simplify right side
    1,448.42x = 1,139,223.17
  5. Step 5: Solve for x
    x = 1,139,223.17/1,448.42
  6. Step 6: Final answer
    x = 786.53

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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.