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Finding the Fourth Proportional to 960.24, 1,432.14 and 822

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Solution

The fourth proportional to 960.24, 1,432.14 and 822 is: 1,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,432.14 = 822 : x
  2. Step 2: Convert to fraction form
    960.24/1,432.14 = 822/x
  3. Step 3: Cross multiply
    960.24x = 1,432.14 × 822
  4. Step 4: Simplify right side
    960.24x = 1,177,219.08
  5. Step 5: Solve for x
    x = 1,177,219.08/960.24
  6. Step 6: Final answer
    x = 1,225.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.