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Finding the Fourth Proportional to 1,249.30, 1,874.53 and 469.37

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Solution

The fourth proportional to 1,249.30, 1,874.53 and 469.37 is: 704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.30 : 1,874.53 = 469.37 : x
  2. Step 2: Convert to fraction form
    1,249.30/1,874.53 = 469.37/x
  3. Step 3: Cross multiply
    1,249.30x = 1,874.53 × 469.37
  4. Step 4: Simplify right side
    1,249.30x = 879,848.15
  5. Step 5: Solve for x
    x = 879,848.15/1,249.30
  6. Step 6: Final answer
    x = 704.27

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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.