Home / 1,296.35-1,942.70-564.38

Finding the Fourth Proportional to 1,296.35, 1,942.70 and 564.38

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Solution

The fourth proportional to 1,296.35, 1,942.70 and 564.38 is: 845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.35 : 1,942.70 = 564.38 : x
  2. Step 2: Convert to fraction form
    1,296.35/1,942.70 = 564.38/x
  3. Step 3: Cross multiply
    1,296.35x = 1,942.70 × 564.38
  4. Step 4: Simplify right side
    1,296.35x = 1,096,423.06
  5. Step 5: Solve for x
    x = 1,096,423.06/1,296.35
  6. Step 6: Final answer
    x = 845.78

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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.