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Finding the Fourth Proportional to 553.86, 764.40 and 344.12

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Solution

The fourth proportional to 553.86, 764.40 and 344.12 is: 474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 764.40 = 344.12 : x
  2. Step 2: Convert to fraction form
    553.86/764.40 = 344.12/x
  3. Step 3: Cross multiply
    553.86x = 764.40 × 344.12
  4. Step 4: Simplify right side
    553.86x = 263,041.51
  5. Step 5: Solve for x
    x = 263,041.51/553.86
  6. Step 6: Final answer
    x = 474.92

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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.