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Finding the Fourth Proportional to 1,379.04, 1,902.55 and 881.62

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Solution

The fourth proportional to 1,379.04, 1,902.55 and 881.62 is: 1,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.04 : 1,902.55 = 881.62 : x
  2. Step 2: Convert to fraction form
    1,379.04/1,902.55 = 881.62/x
  3. Step 3: Cross multiply
    1,379.04x = 1,902.55 × 881.62
  4. Step 4: Simplify right side
    1,379.04x = 1,677,326.13
  5. Step 5: Solve for x
    x = 1,677,326.13/1,379.04
  6. Step 6: Final answer
    x = 1,216.30

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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.