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Finding the Fourth Proportional to 957.94, 1,321.94 and 559.64

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Solution

The fourth proportional to 957.94, 1,321.94 and 559.64 is: 772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 1,321.94 = 559.64 : x
  2. Step 2: Convert to fraction form
    957.94/1,321.94 = 559.64/x
  3. Step 3: Cross multiply
    957.94x = 1,321.94 × 559.64
  4. Step 4: Simplify right side
    957.94x = 739,810.50
  5. Step 5: Solve for x
    x = 739,810.50/957.94
  6. Step 6: Final answer
    x = 772.29

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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.