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Finding the Fourth Proportional to 1,290.88, 1,936.32 and 425.92

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Solution

The fourth proportional to 1,290.88, 1,936.32 and 425.92 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.88 : 1,936.32 = 425.92 : x
  2. Step 2: Convert to fraction form
    1,290.88/1,936.32 = 425.92/x
  3. Step 3: Cross multiply
    1,290.88x = 1,936.32 × 425.92
  4. Step 4: Simplify right side
    1,290.88x = 824,717.41
  5. Step 5: Solve for x
    x = 824,717.41/1,290.88
  6. Step 6: Final answer
    x = 638.88

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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.