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Finding the Fourth Proportional to 1,002.86, 1,381.02 and 855.44

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Solution

The fourth proportional to 1,002.86, 1,381.02 and 855.44 is: 1,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.86 : 1,381.02 = 855.44 : x
  2. Step 2: Convert to fraction form
    1,002.86/1,381.02 = 855.44/x
  3. Step 3: Cross multiply
    1,002.86x = 1,381.02 × 855.44
  4. Step 4: Simplify right side
    1,002.86x = 1,181,379.75
  5. Step 5: Solve for x
    x = 1,181,379.75/1,002.86
  6. Step 6: Final answer
    x = 1,178.01

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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.