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Finding the Fourth Proportional to 1,275.71, 1,914.34 and 453.92

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Solution

The fourth proportional to 1,275.71, 1,914.34 and 453.92 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.71 : 1,914.34 = 453.92 : x
  2. Step 2: Convert to fraction form
    1,275.71/1,914.34 = 453.92/x
  3. Step 3: Cross multiply
    1,275.71x = 1,914.34 × 453.92
  4. Step 4: Simplify right side
    1,275.71x = 868,960.86
  5. Step 5: Solve for x
    x = 868,960.86/1,275.71
  6. Step 6: Final answer
    x = 681.16

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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.