Home / 1,428.40-2,142.76-454.16

Finding the Fourth Proportional to 1,428.40, 2,142.76 and 454.16

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Solution

The fourth proportional to 1,428.40, 2,142.76 and 454.16 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.40 : 2,142.76 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,428.40/2,142.76 = 454.16/x
  3. Step 3: Cross multiply
    1,428.40x = 2,142.76 × 454.16
  4. Step 4: Simplify right side
    1,428.40x = 973,155.88
  5. Step 5: Solve for x
    x = 973,155.88/1,428.40
  6. Step 6: Final answer
    x = 681.29

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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.