Home / 1,022.46-1,410.90-580.41

Finding the Fourth Proportional to 1,022.46, 1,410.90 and 580.41

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Solution

The fourth proportional to 1,022.46, 1,410.90 and 580.41 is: 800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.46 : 1,410.90 = 580.41 : x
  2. Step 2: Convert to fraction form
    1,022.46/1,410.90 = 580.41/x
  3. Step 3: Cross multiply
    1,022.46x = 1,410.90 × 580.41
  4. Step 4: Simplify right side
    1,022.46x = 818,900.47
  5. Step 5: Solve for x
    x = 818,900.47/1,022.46
  6. Step 6: Final answer
    x = 800.91

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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.