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Finding the Fourth Proportional to 957.19, 1,321.85 and 824.94

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Solution

The fourth proportional to 957.19, 1,321.85 and 824.94 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.19 : 1,321.85 = 824.94 : x
  2. Step 2: Convert to fraction form
    957.19/1,321.85 = 824.94/x
  3. Step 3: Cross multiply
    957.19x = 1,321.85 × 824.94
  4. Step 4: Simplify right side
    957.19x = 1,090,436.21
  5. Step 5: Solve for x
    x = 1,090,436.21/957.19
  6. Step 6: Final answer
    x = 1,139.21

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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.