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Finding the Fourth Proportional to 919.68, 1,371.54 and 871.08

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Solution

The fourth proportional to 919.68, 1,371.54 and 871.08 is: 1,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.68 : 1,371.54 = 871.08 : x
  2. Step 2: Convert to fraction form
    919.68/1,371.54 = 871.08/x
  3. Step 3: Cross multiply
    919.68x = 1,371.54 × 871.08
  4. Step 4: Simplify right side
    919.68x = 1,194,721.06
  5. Step 5: Solve for x
    x = 1,194,721.06/919.68
  6. Step 6: Final answer
    x = 1,299.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.