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Finding the Fourth Proportional to 656.75, 984.93 and 309.89

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Solution

The fourth proportional to 656.75, 984.93 and 309.89 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 984.93 = 309.89 : x
  2. Step 2: Convert to fraction form
    656.75/984.93 = 309.89/x
  3. Step 3: Cross multiply
    656.75x = 984.93 × 309.89
  4. Step 4: Simplify right side
    656.75x = 305,219.96
  5. Step 5: Solve for x
    x = 305,219.96/656.75
  6. Step 6: Final answer
    x = 464.74

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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.