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Finding the Fourth Proportional to 553.20, 762.54 and 356.40

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Solution

The fourth proportional to 553.20, 762.54 and 356.40 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.20 : 762.54 = 356.40 : x
  2. Step 2: Convert to fraction form
    553.20/762.54 = 356.40/x
  3. Step 3: Cross multiply
    553.20x = 762.54 × 356.40
  4. Step 4: Simplify right side
    553.20x = 271,769.26
  5. Step 5: Solve for x
    x = 271,769.26/553.20
  6. Step 6: Final answer
    x = 491.27

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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.