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Finding the Fourth Proportional to 553.05, 763.29 and 405.63

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Solution

The fourth proportional to 553.05, 763.29 and 405.63 is: 559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.05 : 763.29 = 405.63 : x
  2. Step 2: Convert to fraction form
    553.05/763.29 = 405.63/x
  3. Step 3: Cross multiply
    553.05x = 763.29 × 405.63
  4. Step 4: Simplify right side
    553.05x = 309,613.32
  5. Step 5: Solve for x
    x = 309,613.32/553.05
  6. Step 6: Final answer
    x = 559.83

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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.