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Finding the Fourth Proportional to 1,311.71, 1,968.57 and 581.78

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Solution

The fourth proportional to 1,311.71, 1,968.57 and 581.78 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.71 : 1,968.57 = 581.78 : x
  2. Step 2: Convert to fraction form
    1,311.71/1,968.57 = 581.78/x
  3. Step 3: Cross multiply
    1,311.71x = 1,968.57 × 581.78
  4. Step 4: Simplify right side
    1,311.71x = 1,145,279.58
  5. Step 5: Solve for x
    x = 1,145,279.58/1,311.71
  6. Step 6: Final answer
    x = 873.12

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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.