Home / 1,163.00-1,743.81-469.69

Finding the Fourth Proportional to 1,163.00, 1,743.81 and 469.69

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Solution

The fourth proportional to 1,163.00, 1,743.81 and 469.69 is: 704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.00 : 1,743.81 = 469.69 : x
  2. Step 2: Convert to fraction form
    1,163.00/1,743.81 = 469.69/x
  3. Step 3: Cross multiply
    1,163.00x = 1,743.81 × 469.69
  4. Step 4: Simplify right side
    1,163.00x = 819,041.40
  5. Step 5: Solve for x
    x = 819,041.40/1,163.00
  6. Step 6: Final answer
    x = 704.25

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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.