Home / 1,133.11-1,699.75-311.45

Finding the Fourth Proportional to 1,133.11, 1,699.75 and 311.45

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Solution

The fourth proportional to 1,133.11, 1,699.75 and 311.45 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.11 : 1,699.75 = 311.45 : x
  2. Step 2: Convert to fraction form
    1,133.11/1,699.75 = 311.45/x
  3. Step 3: Cross multiply
    1,133.11x = 1,699.75 × 311.45
  4. Step 4: Simplify right side
    1,133.11x = 529,379.03
  5. Step 5: Solve for x
    x = 529,379.03/1,133.11
  6. Step 6: Final answer
    x = 467.19

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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.