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Finding the Fourth Proportional to 755.68, 1,042.84 and 424.11

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Solution

The fourth proportional to 755.68, 1,042.84 and 424.11 is: 585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,042.84 = 424.11 : x
  2. Step 2: Convert to fraction form
    755.68/1,042.84 = 424.11/x
  3. Step 3: Cross multiply
    755.68x = 1,042.84 × 424.11
  4. Step 4: Simplify right side
    755.68x = 442,278.87
  5. Step 5: Solve for x
    x = 442,278.87/755.68
  6. Step 6: Final answer
    x = 585.27

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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.