Home / 1,022.10-1,533.20-536.10

Finding the Fourth Proportional to 1,022.10, 1,533.20 and 536.10

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Solution

The fourth proportional to 1,022.10, 1,533.20 and 536.10 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,533.20 = 536.10 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,533.20 = 536.10/x
  3. Step 3: Cross multiply
    1,022.10x = 1,533.20 × 536.10
  4. Step 4: Simplify right side
    1,022.10x = 821,948.52
  5. Step 5: Solve for x
    x = 821,948.52/1,022.10
  6. Step 6: Final answer
    x = 804.18

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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.