Home / 1,022.29-1,410.75-580.20

Finding the Fourth Proportional to 1,022.29, 1,410.75 and 580.20

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Solution

The fourth proportional to 1,022.29, 1,410.75 and 580.20 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.29 : 1,410.75 = 580.20 : x
  2. Step 2: Convert to fraction form
    1,022.29/1,410.75 = 580.20/x
  3. Step 3: Cross multiply
    1,022.29x = 1,410.75 × 580.20
  4. Step 4: Simplify right side
    1,022.29x = 818,511.86
  5. Step 5: Solve for x
    x = 818,511.86/1,022.29
  6. Step 6: Final answer
    x = 800.67

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1.5x scale

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.