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Finding the Fourth Proportional to 1,380.44, 1,904.11 and 882.29

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Solution

The fourth proportional to 1,380.44, 1,904.11 and 882.29 is: 1,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.44 : 1,904.11 = 882.29 : x
  2. Step 2: Convert to fraction form
    1,380.44/1,904.11 = 882.29/x
  3. Step 3: Cross multiply
    1,380.44x = 1,904.11 × 882.29
  4. Step 4: Simplify right side
    1,380.44x = 1,679,979.77
  5. Step 5: Solve for x
    x = 1,679,979.77/1,380.44
  6. Step 6: Final answer
    x = 1,216.99

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1.5x scale

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.