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Finding the Fourth Proportional to 817, 1,218.29 and 757.48

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Solution

The fourth proportional to 817, 1,218.29 and 757.48 is: 1,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,218.29 = 757.48 : x
  2. Step 2: Convert to fraction form
    817/1,218.29 = 757.48/x
  3. Step 3: Cross multiply
    817x = 1,218.29 × 757.48
  4. Step 4: Simplify right side
    817x = 922,830.31
  5. Step 5: Solve for x
    x = 922,830.31/817
  6. Step 6: Final answer
    x = 1,129.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.