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Finding the Fourth Proportional to 757.82, 1,128.45 and 730.15

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Solution

The fourth proportional to 757.82, 1,128.45 and 730.15 is: 1,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.82 : 1,128.45 = 730.15 : x
  2. Step 2: Convert to fraction form
    757.82/1,128.45 = 730.15/x
  3. Step 3: Cross multiply
    757.82x = 1,128.45 × 730.15
  4. Step 4: Simplify right side
    757.82x = 823,937.77
  5. Step 5: Solve for x
    x = 823,937.77/757.82
  6. Step 6: Final answer
    x = 1,087.25

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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.