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Finding the Fourth Proportional to 722.70, 998.46 and 664.38

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Solution

The fourth proportional to 722.70, 998.46 and 664.38 is: 917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 998.46 = 664.38 : x
  2. Step 2: Convert to fraction form
    722.70/998.46 = 664.38/x
  3. Step 3: Cross multiply
    722.70x = 998.46 × 664.38
  4. Step 4: Simplify right side
    722.70x = 663,356.85
  5. Step 5: Solve for x
    x = 663,356.85/722.70
  6. Step 6: Final answer
    x = 917.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.