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Finding the Fourth Proportional to 1,428.58, 2,142.84 and 454.66

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Solution

The fourth proportional to 1,428.58, 2,142.84 and 454.66 is: 681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.58 : 2,142.84 = 454.66 : x
  2. Step 2: Convert to fraction form
    1,428.58/2,142.84 = 454.66/x
  3. Step 3: Cross multiply
    1,428.58x = 2,142.84 × 454.66
  4. Step 4: Simplify right side
    1,428.58x = 974,263.63
  5. Step 5: Solve for x
    x = 974,263.63/1,428.58
  6. Step 6: Final answer
    x = 681.98

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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.