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Finding the Fourth Proportional to 957.82, 1,320.09 and 824.70

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Solution

The fourth proportional to 957.82, 1,320.09 and 824.70 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.82 : 1,320.09 = 824.70 : x
  2. Step 2: Convert to fraction form
    957.82/1,320.09 = 824.70/x
  3. Step 3: Cross multiply
    957.82x = 1,320.09 × 824.70
  4. Step 4: Simplify right side
    957.82x = 1,088,678.22
  5. Step 5: Solve for x
    x = 1,088,678.22/957.82
  6. Step 6: Final answer
    x = 1,136.62

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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.