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Finding the Fourth Proportional to 1,576.91, 2,364.16 and 960.50

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Solution

The fourth proportional to 1,576.91, 2,364.16 and 960.50 is: 1,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.91 : 2,364.16 = 960.50 : x
  2. Step 2: Convert to fraction form
    1,576.91/2,364.16 = 960.50/x
  3. Step 3: Cross multiply
    1,576.91x = 2,364.16 × 960.50
  4. Step 4: Simplify right side
    1,576.91x = 2,270,775.68
  5. Step 5: Solve for x
    x = 2,270,775.68/1,576.91
  6. Step 6: Final answer
    x = 1,440.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.