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Finding the Fourth Proportional to 550.16, 757.96 and 514.32

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Solution

The fourth proportional to 550.16, 757.96 and 514.32 is: 708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.16 : 757.96 = 514.32 : x
  2. Step 2: Convert to fraction form
    550.16/757.96 = 514.32/x
  3. Step 3: Cross multiply
    550.16x = 757.96 × 514.32
  4. Step 4: Simplify right side
    550.16x = 389,833.99
  5. Step 5: Solve for x
    x = 389,833.99/550.16
  6. Step 6: Final answer
    x = 708.58

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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.