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Finding the Fourth Proportional to 1,086.84, 1,629.95 and 306.65

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Solution

The fourth proportional to 1,086.84, 1,629.95 and 306.65 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,629.95 = 306.65 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,629.95 = 306.65/x
  3. Step 3: Cross multiply
    1,086.84x = 1,629.95 × 306.65
  4. Step 4: Simplify right side
    1,086.84x = 499,826.71
  5. Step 5: Solve for x
    x = 499,826.71/1,086.84
  6. Step 6: Final answer
    x = 459.89

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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.