Home / 1,004.20-1,503.23-807.37

Finding the Fourth Proportional to 1,004.20, 1,503.23 and 807.37

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Solution

The fourth proportional to 1,004.20, 1,503.23 and 807.37 is: 1,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.20 : 1,503.23 = 807.37 : x
  2. Step 2: Convert to fraction form
    1,004.20/1,503.23 = 807.37/x
  3. Step 3: Cross multiply
    1,004.20x = 1,503.23 × 807.37
  4. Step 4: Simplify right side
    1,004.20x = 1,213,655.01
  5. Step 5: Solve for x
    x = 1,213,655.01/1,004.20
  6. Step 6: Final answer
    x = 1,208.58

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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.