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Finding the Fourth Proportional to 792, 1,092.37 and 512.02

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Solution

The fourth proportional to 792, 1,092.37 and 512.02 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,092.37 = 512.02 : x
  2. Step 2: Convert to fraction form
    792/1,092.37 = 512.02/x
  3. Step 3: Cross multiply
    792x = 1,092.37 × 512.02
  4. Step 4: Simplify right side
    792x = 559,315.29
  5. Step 5: Solve for x
    x = 559,315.29/792
  6. Step 6: Final answer
    x = 706.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.