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Finding the Fourth Proportional to 792.54, 1,188.68 and 305.55

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Solution

The fourth proportional to 792.54, 1,188.68 and 305.55 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.54 : 1,188.68 = 305.55 : x
  2. Step 2: Convert to fraction form
    792.54/1,188.68 = 305.55/x
  3. Step 3: Cross multiply
    792.54x = 1,188.68 × 305.55
  4. Step 4: Simplify right side
    792.54x = 363,199.65
  5. Step 5: Solve for x
    x = 363,199.65/792.54
  6. Step 6: Final answer
    x = 458.27

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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.