Home / 1,313.08-1,969.38-582.52

Finding the Fourth Proportional to 1,313.08, 1,969.38 and 582.52

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Solution

The fourth proportional to 1,313.08, 1,969.38 and 582.52 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.08 : 1,969.38 = 582.52 : x
  2. Step 2: Convert to fraction form
    1,313.08/1,969.38 = 582.52/x
  3. Step 3: Cross multiply
    1,313.08x = 1,969.38 × 582.52
  4. Step 4: Simplify right side
    1,313.08x = 1,147,203.24
  5. Step 5: Solve for x
    x = 1,147,203.24/1,313.08
  6. Step 6: Final answer
    x = 873.67

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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.