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Finding the Fourth Proportional to 656.91, 984.83 and 451.89

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Solution

The fourth proportional to 656.91, 984.83 and 451.89 is: 677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 984.83 = 451.89 : x
  2. Step 2: Convert to fraction form
    656.91/984.83 = 451.89/x
  3. Step 3: Cross multiply
    656.91x = 984.83 × 451.89
  4. Step 4: Simplify right side
    656.91x = 445,032.57
  5. Step 5: Solve for x
    x = 445,032.57/656.91
  6. Step 6: Final answer
    x = 677.46

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1.5x scale

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.