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Finding the Fourth Proportional to 656.73, 985.68 and 310.26

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Solution

The fourth proportional to 656.73, 985.68 and 310.26 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.73 : 985.68 = 310.26 : x
  2. Step 2: Convert to fraction form
    656.73/985.68 = 310.26/x
  3. Step 3: Cross multiply
    656.73x = 985.68 × 310.26
  4. Step 4: Simplify right side
    656.73x = 305,817.08
  5. Step 5: Solve for x
    x = 305,817.08/656.73
  6. Step 6: Final answer
    x = 465.67

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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.