Home / 1,428.19-2,142.21-454.16

Finding the Fourth Proportional to 1,428.19, 2,142.21 and 454.16

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Solution

The fourth proportional to 1,428.19, 2,142.21 and 454.16 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.19 : 2,142.21 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,428.19/2,142.21 = 454.16/x
  3. Step 3: Cross multiply
    1,428.19x = 2,142.21 × 454.16
  4. Step 4: Simplify right side
    1,428.19x = 972,911.45
  5. Step 5: Solve for x
    x = 972,911.45/1,428.19
  6. Step 6: Final answer
    x = 681.22

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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.