Home / 1,529.64-2,293.83-749.43

Finding the Fourth Proportional to 1,529.64, 2,293.83 and 749.43

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Solution

The fourth proportional to 1,529.64, 2,293.83 and 749.43 is: 1,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.64 : 2,293.83 = 749.43 : x
  2. Step 2: Convert to fraction form
    1,529.64/2,293.83 = 749.43/x
  3. Step 3: Cross multiply
    1,529.64x = 2,293.83 × 749.43
  4. Step 4: Simplify right side
    1,529.64x = 1,719,065.02
  5. Step 5: Solve for x
    x = 1,719,065.02/1,529.64
  6. Step 6: Final answer
    x = 1,123.84

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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.