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Finding the Fourth Proportional to 1,268.33, 1,902.50 and 446.61

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Solution

The fourth proportional to 1,268.33, 1,902.50 and 446.61 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.33 : 1,902.50 = 446.61 : x
  2. Step 2: Convert to fraction form
    1,268.33/1,902.50 = 446.61/x
  3. Step 3: Cross multiply
    1,268.33x = 1,902.50 × 446.61
  4. Step 4: Simplify right side
    1,268.33x = 849,684.61
  5. Step 5: Solve for x
    x = 849,684.61/1,268.33
  6. Step 6: Final answer
    x = 669.93

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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.