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Finding the Fourth Proportional to 792.80, 1,189.20 and 533.60

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Solution

The fourth proportional to 792.80, 1,189.20 and 533.60 is: 800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.80 : 1,189.20 = 533.60 : x
  2. Step 2: Convert to fraction form
    792.80/1,189.20 = 533.60/x
  3. Step 3: Cross multiply
    792.80x = 1,189.20 × 533.60
  4. Step 4: Simplify right side
    792.80x = 634,557.12
  5. Step 5: Solve for x
    x = 634,557.12/792.80
  6. Step 6: Final answer
    x = 800.40

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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.