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Finding the Fourth Proportional to 772.20, 1,156.44 and 442.14

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Solution

The fourth proportional to 772.20, 1,156.44 and 442.14 is: 662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.20 : 1,156.44 = 442.14 : x
  2. Step 2: Convert to fraction form
    772.20/1,156.44 = 442.14/x
  3. Step 3: Cross multiply
    772.20x = 1,156.44 × 442.14
  4. Step 4: Simplify right side
    772.20x = 511,308.38
  5. Step 5: Solve for x
    x = 511,308.38/772.20
  6. Step 6: Final answer
    x = 662.15

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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.