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Finding the Fourth Proportional to 550.12, 759.93 and 384.25

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Solution

The fourth proportional to 550.12, 759.93 and 384.25 is: 530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.12 : 759.93 = 384.25 : x
  2. Step 2: Convert to fraction form
    550.12/759.93 = 384.25/x
  3. Step 3: Cross multiply
    550.12x = 759.93 × 384.25
  4. Step 4: Simplify right side
    550.12x = 292,003.10
  5. Step 5: Solve for x
    x = 292,003.10/550.12
  6. Step 6: Final answer
    x = 530.80

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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.