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Finding the Fourth Proportional to 553.65, 763.61 and 343.71

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Solution

The fourth proportional to 553.65, 763.61 and 343.71 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.65 : 763.61 = 343.71 : x
  2. Step 2: Convert to fraction form
    553.65/763.61 = 343.71/x
  3. Step 3: Cross multiply
    553.65x = 763.61 × 343.71
  4. Step 4: Simplify right side
    553.65x = 262,458.67
  5. Step 5: Solve for x
    x = 262,458.67/553.65
  6. Step 6: Final answer
    x = 474.05

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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.