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Finding the Fourth Proportional to 727.50, 1,093.68 and 512.58

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Solution

The fourth proportional to 727.50, 1,093.68 and 512.58 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.50 : 1,093.68 = 512.58 : x
  2. Step 2: Convert to fraction form
    727.50/1,093.68 = 512.58/x
  3. Step 3: Cross multiply
    727.50x = 1,093.68 × 512.58
  4. Step 4: Simplify right side
    727.50x = 560,598.49
  5. Step 5: Solve for x
    x = 560,598.49/727.50
  6. Step 6: Final answer
    x = 770.58

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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.