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Finding the Fourth Proportional to 2,407.82, 3,611.41 and 652.91

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Solution

The fourth proportional to 2,407.82, 3,611.41 and 652.91 is: 979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.82 : 3,611.41 = 652.91 : x
  2. Step 2: Convert to fraction form
    2,407.82/3,611.41 = 652.91/x
  3. Step 3: Cross multiply
    2,407.82x = 3,611.41 × 652.91
  4. Step 4: Simplify right side
    2,407.82x = 2,357,906.01
  5. Step 5: Solve for x
    x = 2,357,906.01/2,407.82
  6. Step 6: Final answer
    x = 979.27

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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.