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Finding the Fourth Proportional to 1,404.69, 2,107.44 and 582.81

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Solution

The fourth proportional to 1,404.69, 2,107.44 and 582.81 is: 874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.69 : 2,107.44 = 582.81 : x
  2. Step 2: Convert to fraction form
    1,404.69/2,107.44 = 582.81/x
  3. Step 3: Cross multiply
    1,404.69x = 2,107.44 × 582.81
  4. Step 4: Simplify right side
    1,404.69x = 1,228,237.11
  5. Step 5: Solve for x
    x = 1,228,237.11/1,404.69
  6. Step 6: Final answer
    x = 874.38

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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.