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Finding the Fourth Proportional to 477.86, 716.78 and 203.78

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Solution

The fourth proportional to 477.86, 716.78 and 203.78 is: 305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.86 : 716.78 = 203.78 : x
  2. Step 2: Convert to fraction form
    477.86/716.78 = 203.78/x
  3. Step 3: Cross multiply
    477.86x = 716.78 × 203.78
  4. Step 4: Simplify right side
    477.86x = 146,065.43
  5. Step 5: Solve for x
    x = 146,065.43/477.86
  6. Step 6: Final answer
    x = 305.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.