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Finding the Fourth Proportional to 755.68, 1,041.62 and 637.82

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Solution

The fourth proportional to 755.68, 1,041.62 and 637.82 is: 879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,041.62 = 637.82 : x
  2. Step 2: Convert to fraction form
    755.68/1,041.62 = 637.82/x
  3. Step 3: Cross multiply
    755.68x = 1,041.62 × 637.82
  4. Step 4: Simplify right side
    755.68x = 664,366.07
  5. Step 5: Solve for x
    x = 664,366.07/755.68
  6. Step 6: Final answer
    x = 879.16

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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.