Home / 1,023.60-1,535.65-293.18

Finding the Fourth Proportional to 1,023.60, 1,535.65 and 293.18

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Solution

The fourth proportional to 1,023.60, 1,535.65 and 293.18 is: 439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,535.65 = 293.18 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,535.65 = 293.18/x
  3. Step 3: Cross multiply
    1,023.60x = 1,535.65 × 293.18
  4. Step 4: Simplify right side
    1,023.60x = 450,221.87
  5. Step 5: Solve for x
    x = 450,221.87/1,023.60
  6. Step 6: Final answer
    x = 439.84

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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.