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Finding the Fourth Proportional to 957.81, 1,321.54 and 564.85

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Solution

The fourth proportional to 957.81, 1,321.54 and 564.85 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.81 : 1,321.54 = 564.85 : x
  2. Step 2: Convert to fraction form
    957.81/1,321.54 = 564.85/x
  3. Step 3: Cross multiply
    957.81x = 1,321.54 × 564.85
  4. Step 4: Simplify right side
    957.81x = 746,471.87
  5. Step 5: Solve for x
    x = 746,471.87/957.81
  6. Step 6: Final answer
    x = 779.35

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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.