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Finding the Fourth Proportional to 553.08, 762.76 and 387.20

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Solution

The fourth proportional to 553.08, 762.76 and 387.20 is: 533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 762.76 = 387.20 : x
  2. Step 2: Convert to fraction form
    553.08/762.76 = 387.20/x
  3. Step 3: Cross multiply
    553.08x = 762.76 × 387.20
  4. Step 4: Simplify right side
    553.08x = 295,340.67
  5. Step 5: Solve for x
    x = 295,340.67/553.08
  6. Step 6: Final answer
    x = 533.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.