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Finding the Fourth Proportional to 754.94, 1,041.96 and 456.21

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Solution

The fourth proportional to 754.94, 1,041.96 and 456.21 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,041.96 = 456.21 : x
  2. Step 2: Convert to fraction form
    754.94/1,041.96 = 456.21/x
  3. Step 3: Cross multiply
    754.94x = 1,041.96 × 456.21
  4. Step 4: Simplify right side
    754.94x = 475,352.57
  5. Step 5: Solve for x
    x = 475,352.57/754.94
  6. Step 6: Final answer
    x = 629.66

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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.