Home / 1,524.32-2,286.44-428.76

Finding the Fourth Proportional to 1,524.32, 2,286.44 and 428.76

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Solution

The fourth proportional to 1,524.32, 2,286.44 and 428.76 is: 643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.32 : 2,286.44 = 428.76 : x
  2. Step 2: Convert to fraction form
    1,524.32/2,286.44 = 428.76/x
  3. Step 3: Cross multiply
    1,524.32x = 2,286.44 × 428.76
  4. Step 4: Simplify right side
    1,524.32x = 980,334.01
  5. Step 5: Solve for x
    x = 980,334.01/1,524.32
  6. Step 6: Final answer
    x = 643.13

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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.