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Finding the Fourth Proportional to 772.31, 1,158.35 and 309.97

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Solution

The fourth proportional to 772.31, 1,158.35 and 309.97 is: 464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.31 : 1,158.35 = 309.97 : x
  2. Step 2: Convert to fraction form
    772.31/1,158.35 = 309.97/x
  3. Step 3: Cross multiply
    772.31x = 1,158.35 × 309.97
  4. Step 4: Simplify right side
    772.31x = 359,053.65
  5. Step 5: Solve for x
    x = 359,053.65/772.31
  6. Step 6: Final answer
    x = 464.91

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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.