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Finding the Fourth Proportional to 755.09, 1,042.02 and 460.29

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Solution

The fourth proportional to 755.09, 1,042.02 and 460.29 is: 635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.09 : 1,042.02 = 460.29 : x
  2. Step 2: Convert to fraction form
    755.09/1,042.02 = 460.29/x
  3. Step 3: Cross multiply
    755.09x = 1,042.02 × 460.29
  4. Step 4: Simplify right side
    755.09x = 479,631.39
  5. Step 5: Solve for x
    x = 479,631.39/755.09
  6. Step 6: Final answer
    x = 635.20

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1.5x scale

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.