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Finding the Fourth Proportional to 1,205.46, 1,808.19 and 772.92

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Solution

The fourth proportional to 1,205.46, 1,808.19 and 772.92 is: 1,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.46 : 1,808.19 = 772.92 : x
  2. Step 2: Convert to fraction form
    1,205.46/1,808.19 = 772.92/x
  3. Step 3: Cross multiply
    1,205.46x = 1,808.19 × 772.92
  4. Step 4: Simplify right side
    1,205.46x = 1,397,586.21
  5. Step 5: Solve for x
    x = 1,397,586.21/1,205.46
  6. Step 6: Final answer
    x = 1,159.38

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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.