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Finding the Fourth Proportional to 792.32, 1,189.28 and 407.84

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Solution

The fourth proportional to 792.32, 1,189.28 and 407.84 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,189.28 = 407.84 : x
  2. Step 2: Convert to fraction form
    792.32/1,189.28 = 407.84/x
  3. Step 3: Cross multiply
    792.32x = 1,189.28 × 407.84
  4. Step 4: Simplify right side
    792.32x = 485,035.96
  5. Step 5: Solve for x
    x = 485,035.96/792.32
  6. Step 6: Final answer
    x = 612.17

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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.