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Finding the Fourth Proportional to 780.22, 1,169.22 and 533.20

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Solution

The fourth proportional to 780.22, 1,169.22 and 533.20 is: 799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.22 : 1,169.22 = 533.20 : x
  2. Step 2: Convert to fraction form
    780.22/1,169.22 = 533.20/x
  3. Step 3: Cross multiply
    780.22x = 1,169.22 × 533.20
  4. Step 4: Simplify right side
    780.22x = 623,428.10
  5. Step 5: Solve for x
    x = 623,428.10/780.22
  6. Step 6: Final answer
    x = 799.04

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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.