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Finding the Fourth Proportional to 553.25, 762.17 and 387.15

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Solution

The fourth proportional to 553.25, 762.17 and 387.15 is: 533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.25 : 762.17 = 387.15 : x
  2. Step 2: Convert to fraction form
    553.25/762.17 = 387.15/x
  3. Step 3: Cross multiply
    553.25x = 762.17 × 387.15
  4. Step 4: Simplify right side
    553.25x = 295,072.18
  5. Step 5: Solve for x
    x = 295,072.18/553.25
  6. Step 6: Final answer
    x = 533.35

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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.