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Finding the Fourth Proportional to 1,275.69, 1,913.63 and 496.33

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Solution

The fourth proportional to 1,275.69, 1,913.63 and 496.33 is: 744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.69 : 1,913.63 = 496.33 : x
  2. Step 2: Convert to fraction form
    1,275.69/1,913.63 = 496.33/x
  3. Step 3: Cross multiply
    1,275.69x = 1,913.63 × 496.33
  4. Step 4: Simplify right side
    1,275.69x = 949,791.98
  5. Step 5: Solve for x
    x = 949,791.98/1,275.69
  6. Step 6: Final answer
    x = 744.53

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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.