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Finding the Fourth Proportional to 1,205.26, 1,806.51 and 511.49

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Solution

The fourth proportional to 1,205.26, 1,806.51 and 511.49 is: 766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.26 : 1,806.51 = 511.49 : x
  2. Step 2: Convert to fraction form
    1,205.26/1,806.51 = 511.49/x
  3. Step 3: Cross multiply
    1,205.26x = 1,806.51 × 511.49
  4. Step 4: Simplify right side
    1,205.26x = 924,011.80
  5. Step 5: Solve for x
    x = 924,011.80/1,205.26
  6. Step 6: Final answer
    x = 766.65

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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.