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Finding the Fourth Proportional to 553.38, 763.51 and 405.75

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Solution

The fourth proportional to 553.38, 763.51 and 405.75 is: 559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 763.51 = 405.75 : x
  2. Step 2: Convert to fraction form
    553.38/763.51 = 405.75/x
  3. Step 3: Cross multiply
    553.38x = 763.51 × 405.75
  4. Step 4: Simplify right side
    553.38x = 309,794.18
  5. Step 5: Solve for x
    x = 309,794.18/553.38
  6. Step 6: Final answer
    x = 559.82

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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.