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Finding the Fourth Proportional to 792, 1,182 and 784.32

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Solution

The fourth proportional to 792, 1,182 and 784.32 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,182 = 784.32 : x
  2. Step 2: Convert to fraction form
    792/1,182 = 784.32/x
  3. Step 3: Cross multiply
    792x = 1,182 × 784.32
  4. Step 4: Simplify right side
    792x = 927,066.24
  5. Step 5: Solve for x
    x = 927,066.24/792
  6. Step 6: Final answer
    x = 1,170.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.