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Finding the Fourth Proportional to 1,205.29, 1,806.63 and 511.84

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Solution

The fourth proportional to 1,205.29, 1,806.63 and 511.84 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.29 : 1,806.63 = 511.84 : x
  2. Step 2: Convert to fraction form
    1,205.29/1,806.63 = 511.84/x
  3. Step 3: Cross multiply
    1,205.29x = 1,806.63 × 511.84
  4. Step 4: Simplify right side
    1,205.29x = 924,705.50
  5. Step 5: Solve for x
    x = 924,705.50/1,205.29
  6. Step 6: Final answer
    x = 767.21

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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.