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Finding the Fourth Proportional to 755.77, 1,042.68 and 460.93

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Solution

The fourth proportional to 755.77, 1,042.68 and 460.93 is: 635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.77 : 1,042.68 = 460.93 : x
  2. Step 2: Convert to fraction form
    755.77/1,042.68 = 460.93/x
  3. Step 3: Cross multiply
    755.77x = 1,042.68 × 460.93
  4. Step 4: Simplify right side
    755.77x = 480,602.49
  5. Step 5: Solve for x
    x = 480,602.49/755.77
  6. Step 6: Final answer
    x = 635.91

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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.