Home / 1,022.24-1,535.40-612.20

Finding the Fourth Proportional to 1,022.24, 1,535.40 and 612.20

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Solution

The fourth proportional to 1,022.24, 1,535.40 and 612.20 is: 919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.24 : 1,535.40 = 612.20 : x
  2. Step 2: Convert to fraction form
    1,022.24/1,535.40 = 612.20/x
  3. Step 3: Cross multiply
    1,022.24x = 1,535.40 × 612.20
  4. Step 4: Simplify right side
    1,022.24x = 939,964.20
  5. Step 5: Solve for x
    x = 939,964.20/1,022.24
  6. Step 6: Final answer
    x = 919.52

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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.