Home / 1,428.32-2,142.50-455.24

Finding the Fourth Proportional to 1,428.32, 2,142.50 and 455.24

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Solution

The fourth proportional to 1,428.32, 2,142.50 and 455.24 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.32 : 2,142.50 = 455.24 : x
  2. Step 2: Convert to fraction form
    1,428.32/2,142.50 = 455.24/x
  3. Step 3: Cross multiply
    1,428.32x = 2,142.50 × 455.24
  4. Step 4: Simplify right side
    1,428.32x = 975,351.70
  5. Step 5: Solve for x
    x = 975,351.70/1,428.32
  6. Step 6: Final answer
    x = 682.87

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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.