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Finding the Fourth Proportional to 564.60, 778.86 and 478.20

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Solution

The fourth proportional to 564.60, 778.86 and 478.20 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 778.86 = 478.20 : x
  2. Step 2: Convert to fraction form
    564.60/778.86 = 478.20/x
  3. Step 3: Cross multiply
    564.60x = 778.86 × 478.20
  4. Step 4: Simplify right side
    564.60x = 372,450.85
  5. Step 5: Solve for x
    x = 372,450.85/564.60
  6. Step 6: Final answer
    x = 659.67

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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.