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Finding the Fourth Proportional to 1,305.86, 1,959.56 and 484.71

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Solution

The fourth proportional to 1,305.86, 1,959.56 and 484.71 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.86 : 1,959.56 = 484.71 : x
  2. Step 2: Convert to fraction form
    1,305.86/1,959.56 = 484.71/x
  3. Step 3: Cross multiply
    1,305.86x = 1,959.56 × 484.71
  4. Step 4: Simplify right side
    1,305.86x = 949,818.33
  5. Step 5: Solve for x
    x = 949,818.33/1,305.86
  6. Step 6: Final answer
    x = 727.35

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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.