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Finding the Fourth Proportional to 1,428.49, 2,142.48 and 454.81

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Solution

The fourth proportional to 1,428.49, 2,142.48 and 454.81 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.49 : 2,142.48 = 454.81 : x
  2. Step 2: Convert to fraction form
    1,428.49/2,142.48 = 454.81/x
  3. Step 3: Cross multiply
    1,428.49x = 2,142.48 × 454.81
  4. Step 4: Simplify right side
    1,428.49x = 974,421.33
  5. Step 5: Solve for x
    x = 974,421.33/1,428.49
  6. Step 6: Final answer
    x = 682.13

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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.