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Finding the Fourth Proportional to 656.45, 984.50 and 309.69

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Solution

The fourth proportional to 656.45, 984.50 and 309.69 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 984.50 = 309.69 : x
  2. Step 2: Convert to fraction form
    656.45/984.50 = 309.69/x
  3. Step 3: Cross multiply
    656.45x = 984.50 × 309.69
  4. Step 4: Simplify right side
    656.45x = 304,887.80
  5. Step 5: Solve for x
    x = 304,887.80/656.45
  6. Step 6: Final answer
    x = 464.45

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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.