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Finding the Fourth Proportional to 1,108.38, 1,662.38 and 782.76

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Solution

The fourth proportional to 1,108.38, 1,662.38 and 782.76 is: 1,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.38 : 1,662.38 = 782.76 : x
  2. Step 2: Convert to fraction form
    1,108.38/1,662.38 = 782.76/x
  3. Step 3: Cross multiply
    1,108.38x = 1,662.38 × 782.76
  4. Step 4: Simplify right side
    1,108.38x = 1,301,244.57
  5. Step 5: Solve for x
    x = 1,301,244.57/1,108.38
  6. Step 6: Final answer
    x = 1,174.01

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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.