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Finding the Fourth Proportional to 792.90, 1,187.76 and 380.82

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Solution

The fourth proportional to 792.90, 1,187.76 and 380.82 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.90 : 1,187.76 = 380.82 : x
  2. Step 2: Convert to fraction form
    792.90/1,187.76 = 380.82/x
  3. Step 3: Cross multiply
    792.90x = 1,187.76 × 380.82
  4. Step 4: Simplify right side
    792.90x = 452,322.76
  5. Step 5: Solve for x
    x = 452,322.76/792.90
  6. Step 6: Final answer
    x = 570.47

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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.