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Finding the Fourth Proportional to 1,248.44, 1,872.50 and 323.93

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Solution

The fourth proportional to 1,248.44, 1,872.50 and 323.93 is: 485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.44 : 1,872.50 = 323.93 : x
  2. Step 2: Convert to fraction form
    1,248.44/1,872.50 = 323.93/x
  3. Step 3: Cross multiply
    1,248.44x = 1,872.50 × 323.93
  4. Step 4: Simplify right side
    1,248.44x = 606,561.99
  5. Step 5: Solve for x
    x = 606,561.99/1,248.44
  6. Step 6: Final answer
    x = 485.86

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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.