Home / 1,022.32-1,410.75-580.21

Finding the Fourth Proportional to 1,022.32, 1,410.75 and 580.21

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Solution

The fourth proportional to 1,022.32, 1,410.75 and 580.21 is: 800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.32 : 1,410.75 = 580.21 : x
  2. Step 2: Convert to fraction form
    1,022.32/1,410.75 = 580.21/x
  3. Step 3: Cross multiply
    1,022.32x = 1,410.75 × 580.21
  4. Step 4: Simplify right side
    1,022.32x = 818,524.20
  5. Step 5: Solve for x
    x = 818,524.20/1,022.32
  6. Step 6: Final answer
    x = 800.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.