Home / 1,585.38-2,378.37-719.76

Finding the Fourth Proportional to 1,585.38, 2,378.37 and 719.76

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Solution

The fourth proportional to 1,585.38, 2,378.37 and 719.76 is: 1,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.38 : 2,378.37 = 719.76 : x
  2. Step 2: Convert to fraction form
    1,585.38/2,378.37 = 719.76/x
  3. Step 3: Cross multiply
    1,585.38x = 2,378.37 × 719.76
  4. Step 4: Simplify right side
    1,585.38x = 1,711,855.59
  5. Step 5: Solve for x
    x = 1,711,855.59/1,585.38
  6. Step 6: Final answer
    x = 1,079.78

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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.