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Finding the Fourth Proportional to 1,428.54, 2,142.66 and 454.52

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Solution

The fourth proportional to 1,428.54, 2,142.66 and 454.52 is: 681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.54 : 2,142.66 = 454.52 : x
  2. Step 2: Convert to fraction form
    1,428.54/2,142.66 = 454.52/x
  3. Step 3: Cross multiply
    1,428.54x = 2,142.66 × 454.52
  4. Step 4: Simplify right side
    1,428.54x = 973,881.82
  5. Step 5: Solve for x
    x = 973,881.82/1,428.54
  6. Step 6: Final answer
    x = 681.73

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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.