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Finding the Fourth Proportional to 772.26, 1,158.36 and 309.90

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Solution

The fourth proportional to 772.26, 1,158.36 and 309.90 is: 464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,158.36 = 309.90 : x
  2. Step 2: Convert to fraction form
    772.26/1,158.36 = 309.90/x
  3. Step 3: Cross multiply
    772.26x = 1,158.36 × 309.90
  4. Step 4: Simplify right side
    772.26x = 358,975.76
  5. Step 5: Solve for x
    x = 358,975.76/772.26
  6. Step 6: Final answer
    x = 464.84

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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.