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Finding the Fourth Proportional to 656.92, 984.28 and 473.40

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Solution

The fourth proportional to 656.92, 984.28 and 473.40 is: 709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 984.28 = 473.40 : x
  2. Step 2: Convert to fraction form
    656.92/984.28 = 473.40/x
  3. Step 3: Cross multiply
    656.92x = 984.28 × 473.40
  4. Step 4: Simplify right side
    656.92x = 465,958.15
  5. Step 5: Solve for x
    x = 465,958.15/656.92
  6. Step 6: Final answer
    x = 709.31

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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.