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Finding the Fourth Proportional to 550.98, 759.81 and 432.75

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Solution

The fourth proportional to 550.98, 759.81 and 432.75 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 759.81 = 432.75 : x
  2. Step 2: Convert to fraction form
    550.98/759.81 = 432.75/x
  3. Step 3: Cross multiply
    550.98x = 759.81 × 432.75
  4. Step 4: Simplify right side
    550.98x = 328,807.78
  5. Step 5: Solve for x
    x = 328,807.78/550.98
  6. Step 6: Final answer
    x = 596.77

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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.