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Finding the Fourth Proportional to 1,281.96, 1,923.13 and 623.88

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Solution

The fourth proportional to 1,281.96, 1,923.13 and 623.88 is: 935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.96 : 1,923.13 = 623.88 : x
  2. Step 2: Convert to fraction form
    1,281.96/1,923.13 = 623.88/x
  3. Step 3: Cross multiply
    1,281.96x = 1,923.13 × 623.88
  4. Step 4: Simplify right side
    1,281.96x = 1,199,789.61
  5. Step 5: Solve for x
    x = 1,199,789.61/1,281.96
  6. Step 6: Final answer
    x = 935.90

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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.