Home / 1,022.20-1,532.14-405.72

Finding the Fourth Proportional to 1,022.20, 1,532.14 and 405.72

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Solution

The fourth proportional to 1,022.20, 1,532.14 and 405.72 is: 608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,532.14 = 405.72 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,532.14 = 405.72/x
  3. Step 3: Cross multiply
    1,022.20x = 1,532.14 × 405.72
  4. Step 4: Simplify right side
    1,022.20x = 621,619.84
  5. Step 5: Solve for x
    x = 621,619.84/1,022.20
  6. Step 6: Final answer
    x = 608.12

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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.