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Finding the Fourth Proportional to 756.76, 1,037.53 and 742.89

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Solution

The fourth proportional to 756.76, 1,037.53 and 742.89 is: 1,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.76 : 1,037.53 = 742.89 : x
  2. Step 2: Convert to fraction form
    756.76/1,037.53 = 742.89/x
  3. Step 3: Cross multiply
    756.76x = 1,037.53 × 742.89
  4. Step 4: Simplify right side
    756.76x = 770,770.66
  5. Step 5: Solve for x
    x = 770,770.66/756.76
  6. Step 6: Final answer
    x = 1,018.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.