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Finding the Fourth Proportional to 1,653.46, 2,478 and 775.82

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Solution

The fourth proportional to 1,653.46, 2,478 and 775.82 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.46 : 2,478 = 775.82 : x
  2. Step 2: Convert to fraction form
    1,653.46/2,478 = 775.82/x
  3. Step 3: Cross multiply
    1,653.46x = 2,478 × 775.82
  4. Step 4: Simplify right side
    1,653.46x = 1,922,481.96
  5. Step 5: Solve for x
    x = 1,922,481.96/1,653.46
  6. Step 6: Final answer
    x = 1,162.71

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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.