Home / 1,311.38-1,966.43-617.46

Finding the Fourth Proportional to 1,311.38, 1,966.43 and 617.46

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Solution

The fourth proportional to 1,311.38, 1,966.43 and 617.46 is: 925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.38 : 1,966.43 = 617.46 : x
  2. Step 2: Convert to fraction form
    1,311.38/1,966.43 = 617.46/x
  3. Step 3: Cross multiply
    1,311.38x = 1,966.43 × 617.46
  4. Step 4: Simplify right side
    1,311.38x = 1,214,188.78
  5. Step 5: Solve for x
    x = 1,214,188.78/1,311.38
  6. Step 6: Final answer
    x = 925.89

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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.