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Finding the Fourth Proportional to 1,205.64, 1,808.64 and 511.96

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Solution

The fourth proportional to 1,205.64, 1,808.64 and 511.96 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.64 : 1,808.64 = 511.96 : x
  2. Step 2: Convert to fraction form
    1,205.64/1,808.64 = 511.96/x
  3. Step 3: Cross multiply
    1,205.64x = 1,808.64 × 511.96
  4. Step 4: Simplify right side
    1,205.64x = 925,951.33
  5. Step 5: Solve for x
    x = 925,951.33/1,205.64
  6. Step 6: Final answer
    x = 768.02

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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.