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Finding the Fourth Proportional to 1,311.71, 1,965.91 and 616.91

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Solution

The fourth proportional to 1,311.71, 1,965.91 and 616.91 is: 924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.71 : 1,965.91 = 616.91 : x
  2. Step 2: Convert to fraction form
    1,311.71/1,965.91 = 616.91/x
  3. Step 3: Cross multiply
    1,311.71x = 1,965.91 × 616.91
  4. Step 4: Simplify right side
    1,311.71x = 1,212,786.58
  5. Step 5: Solve for x
    x = 1,212,786.58/1,311.71
  6. Step 6: Final answer
    x = 924.59

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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.