Home / 1,428.16-2,142.51-454.07

Finding the Fourth Proportional to 1,428.16, 2,142.51 and 454.07

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Solution

The fourth proportional to 1,428.16, 2,142.51 and 454.07 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.16 : 2,142.51 = 454.07 : x
  2. Step 2: Convert to fraction form
    1,428.16/2,142.51 = 454.07/x
  3. Step 3: Cross multiply
    1,428.16x = 2,142.51 × 454.07
  4. Step 4: Simplify right side
    1,428.16x = 972,838.80
  5. Step 5: Solve for x
    x = 972,838.80/1,428.16
  6. Step 6: Final answer
    x = 681.18

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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.