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Finding the Fourth Proportional to 1,145.67, 1,717.29 and 838.83

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Solution

The fourth proportional to 1,145.67, 1,717.29 and 838.83 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.67 : 1,717.29 = 838.83 : x
  2. Step 2: Convert to fraction form
    1,145.67/1,717.29 = 838.83/x
  3. Step 3: Cross multiply
    1,145.67x = 1,717.29 × 838.83
  4. Step 4: Simplify right side
    1,145.67x = 1,440,514.37
  5. Step 5: Solve for x
    x = 1,440,514.37/1,145.67
  6. Step 6: Final answer
    x = 1,257.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.