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Finding the Fourth Proportional to 553.87, 764.25 and 357.34

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Solution

The fourth proportional to 553.87, 764.25 and 357.34 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 764.25 = 357.34 : x
  2. Step 2: Convert to fraction form
    553.87/764.25 = 357.34/x
  3. Step 3: Cross multiply
    553.87x = 764.25 × 357.34
  4. Step 4: Simplify right side
    553.87x = 273,097.10
  5. Step 5: Solve for x
    x = 273,097.10/553.87
  6. Step 6: Final answer
    x = 493.08

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1.5x scale

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.