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Finding the Fourth Proportional to 1,448.86, 2,173.32 and 353.24

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Solution

The fourth proportional to 1,448.86, 2,173.32 and 353.24 is: 529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.86 : 2,173.32 = 353.24 : x
  2. Step 2: Convert to fraction form
    1,448.86/2,173.32 = 353.24/x
  3. Step 3: Cross multiply
    1,448.86x = 2,173.32 × 353.24
  4. Step 4: Simplify right side
    1,448.86x = 767,703.56
  5. Step 5: Solve for x
    x = 767,703.56/1,448.86
  6. Step 6: Final answer
    x = 529.87

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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.