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Finding the Fourth Proportional to 755.41, 1,125.70 and 730.64

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Solution

The fourth proportional to 755.41, 1,125.70 and 730.64 is: 1,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.41 : 1,125.70 = 730.64 : x
  2. Step 2: Convert to fraction form
    755.41/1,125.70 = 730.64/x
  3. Step 3: Cross multiply
    755.41x = 1,125.70 × 730.64
  4. Step 4: Simplify right side
    755.41x = 822,481.45
  5. Step 5: Solve for x
    x = 822,481.45/755.41
  6. Step 6: Final answer
    x = 1,088.79

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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.