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Finding the Fourth Proportional to 755.94, 1,042.33 and 650.90

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Solution

The fourth proportional to 755.94, 1,042.33 and 650.90 is: 897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.94 : 1,042.33 = 650.90 : x
  2. Step 2: Convert to fraction form
    755.94/1,042.33 = 650.90/x
  3. Step 3: Cross multiply
    755.94x = 1,042.33 × 650.90
  4. Step 4: Simplify right side
    755.94x = 678,452.60
  5. Step 5: Solve for x
    x = 678,452.60/755.94
  6. Step 6: Final answer
    x = 897.50

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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.