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Finding the Fourth Proportional to 550.98, 758.61 and 513.72

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Solution

The fourth proportional to 550.98, 758.61 and 513.72 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 758.61 = 513.72 : x
  2. Step 2: Convert to fraction form
    550.98/758.61 = 513.72/x
  3. Step 3: Cross multiply
    550.98x = 758.61 × 513.72
  4. Step 4: Simplify right side
    550.98x = 389,713.13
  5. Step 5: Solve for x
    x = 389,713.13/550.98
  6. Step 6: Final answer
    x = 707.31

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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.