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Finding the Fourth Proportional to 656.41, 985.67 and 382.70

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Solution

The fourth proportional to 656.41, 985.67 and 382.70 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 985.67 = 382.70 : x
  2. Step 2: Convert to fraction form
    656.41/985.67 = 382.70/x
  3. Step 3: Cross multiply
    656.41x = 985.67 × 382.70
  4. Step 4: Simplify right side
    656.41x = 377,215.91
  5. Step 5: Solve for x
    x = 377,215.91/656.41
  6. Step 6: Final answer
    x = 574.67

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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.