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Finding the Fourth Proportional to 550.51, 759.63 and 402.88

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Solution

The fourth proportional to 550.51, 759.63 and 402.88 is: 555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.51 : 759.63 = 402.88 : x
  2. Step 2: Convert to fraction form
    550.51/759.63 = 402.88/x
  3. Step 3: Cross multiply
    550.51x = 759.63 × 402.88
  4. Step 4: Simplify right side
    550.51x = 306,039.73
  5. Step 5: Solve for x
    x = 306,039.73/550.51
  6. Step 6: Final answer
    x = 555.92

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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.