Home / 1,200.80-1,799.37-507.08

Finding the Fourth Proportional to 1,200.80, 1,799.37 and 507.08

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Solution

The fourth proportional to 1,200.80, 1,799.37 and 507.08 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,799.37 = 507.08 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,799.37 = 507.08/x
  3. Step 3: Cross multiply
    1,200.80x = 1,799.37 × 507.08
  4. Step 4: Simplify right side
    1,200.80x = 912,415.54
  5. Step 5: Solve for x
    x = 912,415.54/1,200.80
  6. Step 6: Final answer
    x = 759.84

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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.