Home / 1,022.10-1,533.15-528.81

Finding the Fourth Proportional to 1,022.10, 1,533.15 and 528.81

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Solution

The fourth proportional to 1,022.10, 1,533.15 and 528.81 is: 793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,533.15 = 528.81 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,533.15 = 528.81/x
  3. Step 3: Cross multiply
    1,022.10x = 1,533.15 × 528.81
  4. Step 4: Simplify right side
    1,022.10x = 810,745.05
  5. Step 5: Solve for x
    x = 810,745.05/1,022.10
  6. Step 6: Final answer
    x = 793.22

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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.