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Finding the Fourth Proportional to 1,833.65, 2,750.48 and 446.99

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Solution

The fourth proportional to 1,833.65, 2,750.48 and 446.99 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.65 : 2,750.48 = 446.99 : x
  2. Step 2: Convert to fraction form
    1,833.65/2,750.48 = 446.99/x
  3. Step 3: Cross multiply
    1,833.65x = 2,750.48 × 446.99
  4. Step 4: Simplify right side
    1,833.65x = 1,229,437.06
  5. Step 5: Solve for x
    x = 1,229,437.06/1,833.65
  6. Step 6: Final answer
    x = 670.49

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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.