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Finding the Fourth Proportional to 1,361.15, 1,878.34 and 740.15

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Solution

The fourth proportional to 1,361.15, 1,878.34 and 740.15 is: 1,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.15 : 1,878.34 = 740.15 : x
  2. Step 2: Convert to fraction form
    1,361.15/1,878.34 = 740.15/x
  3. Step 3: Cross multiply
    1,361.15x = 1,878.34 × 740.15
  4. Step 4: Simplify right side
    1,361.15x = 1,390,249.65
  5. Step 5: Solve for x
    x = 1,390,249.65/1,361.15
  6. Step 6: Final answer
    x = 1,021.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.