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Finding the Fourth Proportional to 1,108.75, 1,662.94 and 783.13

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Solution

The fourth proportional to 1,108.75, 1,662.94 and 783.13 is: 1,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.75 : 1,662.94 = 783.13 : x
  2. Step 2: Convert to fraction form
    1,108.75/1,662.94 = 783.13/x
  3. Step 3: Cross multiply
    1,108.75x = 1,662.94 × 783.13
  4. Step 4: Simplify right side
    1,108.75x = 1,302,298.20
  5. Step 5: Solve for x
    x = 1,302,298.20/1,108.75
  6. Step 6: Final answer
    x = 1,174.56

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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.