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Finding the Fourth Proportional to 896.74, 1,237.07 and 582.11

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Solution

The fourth proportional to 896.74, 1,237.07 and 582.11 is: 803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.74 : 1,237.07 = 582.11 : x
  2. Step 2: Convert to fraction form
    896.74/1,237.07 = 582.11/x
  3. Step 3: Cross multiply
    896.74x = 1,237.07 × 582.11
  4. Step 4: Simplify right side
    896.74x = 720,110.82
  5. Step 5: Solve for x
    x = 720,110.82/896.74
  6. Step 6: Final answer
    x = 803.03

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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.