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Finding the Fourth Proportional to 553.09, 763.20 and 317.05

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Solution

The fourth proportional to 553.09, 763.20 and 317.05 is: 437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.09 : 763.20 = 317.05 : x
  2. Step 2: Convert to fraction form
    553.09/763.20 = 317.05/x
  3. Step 3: Cross multiply
    553.09x = 763.20 × 317.05
  4. Step 4: Simplify right side
    553.09x = 241,972.56
  5. Step 5: Solve for x
    x = 241,972.56/553.09
  6. Step 6: Final answer
    x = 437.49

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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.