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Finding the Fourth Proportional to 1,275.67, 1,913.07 and 453.82

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Solution

The fourth proportional to 1,275.67, 1,913.07 and 453.82 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.67 : 1,913.07 = 453.82 : x
  2. Step 2: Convert to fraction form
    1,275.67/1,913.07 = 453.82/x
  3. Step 3: Cross multiply
    1,275.67x = 1,913.07 × 453.82
  4. Step 4: Simplify right side
    1,275.67x = 868,187.38
  5. Step 5: Solve for x
    x = 868,187.38/1,275.67
  6. Step 6: Final answer
    x = 680.58

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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.