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Finding the Fourth Proportional to 1,275.54, 1,913.85 and 496.09

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Solution

The fourth proportional to 1,275.54, 1,913.85 and 496.09 is: 744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.54 : 1,913.85 = 496.09 : x
  2. Step 2: Convert to fraction form
    1,275.54/1,913.85 = 496.09/x
  3. Step 3: Cross multiply
    1,275.54x = 1,913.85 × 496.09
  4. Step 4: Simplify right side
    1,275.54x = 949,432.28
  5. Step 5: Solve for x
    x = 949,432.28/1,275.54
  6. Step 6: Final answer
    x = 744.34

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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.