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Finding the Fourth Proportional to 957.49, 1,321.31 and 564.44

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Solution

The fourth proportional to 957.49, 1,321.31 and 564.44 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.49 : 1,321.31 = 564.44 : x
  2. Step 2: Convert to fraction form
    957.49/1,321.31 = 564.44/x
  3. Step 3: Cross multiply
    957.49x = 1,321.31 × 564.44
  4. Step 4: Simplify right side
    957.49x = 745,795.02
  5. Step 5: Solve for x
    x = 745,795.02/957.49
  6. Step 6: Final answer
    x = 778.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.