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Finding the Fourth Proportional to 755.47, 1,042.54 and 460.72

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Solution

The fourth proportional to 755.47, 1,042.54 and 460.72 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.47 : 1,042.54 = 460.72 : x
  2. Step 2: Convert to fraction form
    755.47/1,042.54 = 460.72/x
  3. Step 3: Cross multiply
    755.47x = 1,042.54 × 460.72
  4. Step 4: Simplify right side
    755.47x = 480,319.03
  5. Step 5: Solve for x
    x = 480,319.03/755.47
  6. Step 6: Final answer
    x = 635.79

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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.