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Finding the Fourth Proportional to 2,384.64, 3,576.93 and 653.25

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Solution

The fourth proportional to 2,384.64, 3,576.93 and 653.25 is: 979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.64 : 3,576.93 = 653.25 : x
  2. Step 2: Convert to fraction form
    2,384.64/3,576.93 = 653.25/x
  3. Step 3: Cross multiply
    2,384.64x = 3,576.93 × 653.25
  4. Step 4: Simplify right side
    2,384.64x = 2,336,629.52
  5. Step 5: Solve for x
    x = 2,336,629.52/2,384.64
  6. Step 6: Final answer
    x = 979.87

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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.