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Finding the Fourth Proportional to 550.64, 759.48 and 385.04

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Solution

The fourth proportional to 550.64, 759.48 and 385.04 is: 531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 759.48 = 385.04 : x
  2. Step 2: Convert to fraction form
    550.64/759.48 = 385.04/x
  3. Step 3: Cross multiply
    550.64x = 759.48 × 385.04
  4. Step 4: Simplify right side
    550.64x = 292,430.18
  5. Step 5: Solve for x
    x = 292,430.18/550.64
  6. Step 6: Final answer
    x = 531.07

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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.