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Finding the Fourth Proportional to 1,249.03, 1,870.51 and 727.91

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Solution

The fourth proportional to 1,249.03, 1,870.51 and 727.91 is: 1,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.03 : 1,870.51 = 727.91 : x
  2. Step 2: Convert to fraction form
    1,249.03/1,870.51 = 727.91/x
  3. Step 3: Cross multiply
    1,249.03x = 1,870.51 × 727.91
  4. Step 4: Simplify right side
    1,249.03x = 1,361,562.93
  5. Step 5: Solve for x
    x = 1,361,562.93/1,249.03
  6. Step 6: Final answer
    x = 1,090.10

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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.