Home / 1,193.05-1,786.84-577.20

Finding the Fourth Proportional to 1,193.05, 1,786.84 and 577.20

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Solution

The fourth proportional to 1,193.05, 1,786.84 and 577.20 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.05 : 1,786.84 = 577.20 : x
  2. Step 2: Convert to fraction form
    1,193.05/1,786.84 = 577.20/x
  3. Step 3: Cross multiply
    1,193.05x = 1,786.84 × 577.20
  4. Step 4: Simplify right side
    1,193.05x = 1,031,364.05
  5. Step 5: Solve for x
    x = 1,031,364.05/1,193.05
  6. Step 6: Final answer
    x = 864.48

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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.