Home / 1,023.60-1,535.31-293.16

Finding the Fourth Proportional to 1,023.60, 1,535.31 and 293.16

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Solution

The fourth proportional to 1,023.60, 1,535.31 and 293.16 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,535.31 = 293.16 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,535.31 = 293.16/x
  3. Step 3: Cross multiply
    1,023.60x = 1,535.31 × 293.16
  4. Step 4: Simplify right side
    1,023.60x = 450,091.48
  5. Step 5: Solve for x
    x = 450,091.48/1,023.60
  6. Step 6: Final answer
    x = 439.71

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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.