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Finding the Fourth Proportional to 684.06, 1,028.16 and 453.74

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Solution

The fourth proportional to 684.06, 1,028.16 and 453.74 is: 681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.06 : 1,028.16 = 453.74 : x
  2. Step 2: Convert to fraction form
    684.06/1,028.16 = 453.74/x
  3. Step 3: Cross multiply
    684.06x = 1,028.16 × 453.74
  4. Step 4: Simplify right side
    684.06x = 466,517.32
  5. Step 5: Solve for x
    x = 466,517.32/684.06
  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.