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Finding the Fourth Proportional to 792.47, 1,188.70 and 520.28

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Solution

The fourth proportional to 792.47, 1,188.70 and 520.28 is: 780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.47 : 1,188.70 = 520.28 : x
  2. Step 2: Convert to fraction form
    792.47/1,188.70 = 520.28/x
  3. Step 3: Cross multiply
    792.47x = 1,188.70 × 520.28
  4. Step 4: Simplify right side
    792.47x = 618,456.84
  5. Step 5: Solve for x
    x = 618,456.84/792.47
  6. Step 6: Final answer
    x = 780.42

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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.