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Finding the Fourth Proportional to 957.20, 1,320.21 and 824.65

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Solution

The fourth proportional to 957.20, 1,320.21 and 824.65 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.20 : 1,320.21 = 824.65 : x
  2. Step 2: Convert to fraction form
    957.20/1,320.21 = 824.65/x
  3. Step 3: Cross multiply
    957.20x = 1,320.21 × 824.65
  4. Step 4: Simplify right side
    957.20x = 1,088,711.18
  5. Step 5: Solve for x
    x = 1,088,711.18/957.20
  6. Step 6: Final answer
    x = 1,137.39

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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.