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Finding the Fourth Proportional to 755.73, 1,042.61 and 460.89

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Solution

The fourth proportional to 755.73, 1,042.61 and 460.89 is: 635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.73 : 1,042.61 = 460.89 : x
  2. Step 2: Convert to fraction form
    755.73/1,042.61 = 460.89/x
  3. Step 3: Cross multiply
    755.73x = 1,042.61 × 460.89
  4. Step 4: Simplify right side
    755.73x = 480,526.22
  5. Step 5: Solve for x
    x = 480,526.22/755.73
  6. Step 6: Final answer
    x = 635.84

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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.