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Finding the Fourth Proportional to 755.76, 1,042.74 and 460.92

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Solution

The fourth proportional to 755.76, 1,042.74 and 460.92 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,042.74 = 460.92 : x
  2. Step 2: Convert to fraction form
    755.76/1,042.74 = 460.92/x
  3. Step 3: Cross multiply
    755.76x = 1,042.74 × 460.92
  4. Step 4: Simplify right side
    755.76x = 480,619.72
  5. Step 5: Solve for x
    x = 480,619.72/755.76
  6. Step 6: Final answer
    x = 635.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.