Home / 1,022.77-1,411.38-580.67

Finding the Fourth Proportional to 1,022.77, 1,411.38 and 580.67

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Solution

The fourth proportional to 1,022.77, 1,411.38 and 580.67 is: 801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.77 : 1,411.38 = 580.67 : x
  2. Step 2: Convert to fraction form
    1,022.77/1,411.38 = 580.67/x
  3. Step 3: Cross multiply
    1,022.77x = 1,411.38 × 580.67
  4. Step 4: Simplify right side
    1,022.77x = 819,544.26
  5. Step 5: Solve for x
    x = 819,544.26/1,022.77
  6. Step 6: Final answer
    x = 801.30

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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.